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Check out the work below for reducing 47 into simplest radical form . Quiz & Worksheet - Dr. Heidegger's Experiment by Hawthorne, Quiz & Worksheet - Social Issues in Literature, Quiz & Worksheet - The Boy Who Cried Wolf Plot, Flashcards - Real Estate Marketing Basics, Flashcards - Promotional Marketing in Real Estate. Plus, get practice tests, quizzes, and personalized coaching to help you Blended Learning | What is Blended Learning? {{courseNav.course.mDynamicIntFields.lessonCount}} lessons credit-by-exam regardless of age or education level. sqrt (6 x8) <8 has 4 in it, a perfect square, so sqrt of 4 is 2, take it out> sqrt(6x2x4) <8 was broken into 2x4> 2sqrt(6x2) <4 has been taken out to the front and sqrted (2)> 2sqrt(6x2) = 2sqrt(12) | {{course.flashcardSetCount}} That's good news since we need to use these steps to find √48. Go here for the next problem on our list. The idea is to factor 48 such that one of the factors is the largest perfect square possible. We continue this process until we can't factor the factors anymore. We get that √48 = 4√3. The square root of 48 is 4√3, so you know what length you want your wood strip to be! Since you know the area of the frame is 48 square inches, you have the following equation: Therefore, we have that s = √48. Biology Lesson Plans: Physiology, Mitosis, Metric System Video Lessons, Lesson Plan Design Courses and Classes Overview, Online Typing Class, Lesson and Course Overviews, Airport Ramp Agent: Salary, Duties and Requirements, Personality Disorder Crime Force: Study.com Academy Sneak Peek. courses that prepare you to earn Quiz & Worksheet - What Are Bronchial Tubes? Question 319942: Simplify. Then, one side of the frame would have a length of √75 inches, so you would take √75 through our steps. Let’s see if I can help you visualize the concept of square root. Your frame will be good as new in no time! For example, 2 is the square root of 4, because 2x2=4. Create your account. Find the square root, or the two roots, including the principal root, of positive and negative real numbers. Put in order from smallest to largest 12 6 square root 5 20 9 square root 6 16 square root 7 5 -48 11 8 - square root 3 -60 5/6 2 square root 5/5 - square root 3 +2/5 The square root us confusing my son. Bobby Fischer's 21-move brilliancy - Duration: 19:42. Then we use the rule to break up the root. 2:28. Visit the SAT Subject Test Mathematics Level 1: Practice and Study Guide page to learn more. - Definition, Examples & Facts, Geography of the Northeastern United States, Informational Listening: Definition & Skills. Let's check this with √16*3=√48. 48 is the number that precedes the perfect square 49. The nearest previous perfect square is 36 and the nearest next perfect square is 64 . Since, it has an integer as its roots, it is called as a perfect square. For example, the tenth root of 59,049 is 3 as 3 x 3 x 3 x 3 x 3 x 3 x 3 x 3 x 3 x 3 is 59,049. Brian McLogan 43,131 views. Calculate √ 9/48 The square root of (9/48) is the same as the square root of 9 divided by the square root of 48. Moving on to step two, we want to pull pairs of numbers in the factorization out of the square root as one copy of the number. All rights reserved. Laura received her Master's degree in Pure Mathematics from Michigan State University. Not sure what college you want to attend yet? Find an answer to your question “What is 48 to the square root of 9.5 ...” in 📘 Mathematics if you're in doubt about the correctness of the answers or there's no answer, then try to use the smart search and find answers to the similar questions. The square root of 1.48 is 1.2165525060596. Lastly, step three says to simplify, so we go ahead and multiply the 2⋅2 outside of the square root to get 4√3. Here we first calculate the square root of the numerator and the square root of the denominator separately, and then we divide the two: Square root of 48 can be broken into smaller numbers that multiply to make 48 like 6x8=48. The square root of 48 in its simplest form means to get the number 48 inside the radical √ as low as possible. To unlock this lesson you must be a Study.com Member. 's' : ''}}. In cases like this you factorise the 48 and see if you can find any squares to be taken out from under the root. As a member, you'll also get unlimited access to over 83,000 Learn How to Simplify the Square Root of 48 - Duration: 2:28. How about 2? 201 lessons She has 15 years of experience teaching collegiate mathematics at various institutions. The square root is approximately equal to 6.9282. Services. The repair man tells you that he has these wood strips in various lengths and asks what length you need. sqrt (6 x8) <8 has 4 in it, a perfect square, so sqrt of 4 is 2, take it out> sqrt(6x2x4) <8 was broken into 2x4> 2sqrt(6x2) <4 has been taken out to the front and sqrted (2)> 2sqrt(6x2) = 2sqrt(12) Let's take a look at these steps, and then use them to calculate the square root of 48. 48 is 3 * 16, is 3 * 4^2. Create an account to start this course today. Next, we take any pairs of numbers out of the square root as one copy of the number. No. This is already simplified, so step three is already done, and we get that √75 = 5√3. Free math problem solver answers your algebra, geometry, trigonometry, calculus, and statistics homework questions with step-by-step explanations, just like a math tutor. The number 48 is not a perfect square. Now count the number of pieces on each side. 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Or, √ 48 = 6.9282032302755 See, below on this web page, details on how to calculate this square root using the Babylonian Method Try refreshing the page, or contact customer support. - Definition & Examples, How to Write the Equation of a Parabola in Standard Form, How to Find the Domain of Piecewise Functions, Parabolas in Standard, Intercept, and Vertex Form, Parallel Lines: How to Prove Lines Are Parallel, House Taken Over by Julio Cortazar: Summary & Analysis, The HL (Hypotenuse Leg) Theorem: Definition, Proof, & Examples, Michigan Merit Exam - Math: Test Prep & Practice, DSST Principles of Statistics: Study Guide & Test Prep, ICAS Mathematics - Paper I & J: Test Prep & Practice, SAT Subject Test World History: Practice and Study Guide, College Mathematics Syllabus Resource & Lesson Plans, Cambridge Pre-U Mathematics - Short Course: Practice & Study Guide, NES Mathematics - WEST (304): Practice & Study Guide, DSST Business Mathematics: Study Guide & Test Prep, College Algebra Syllabus Resource & Lesson Plans, NMTA Essential Academic Skills (001,002,003): Practice & Study Guide. To simplify the square root of 48, the equation is rewritten as the square root of 16 times 3. First, we want to factor 48 as much as possible. Since the square root of 3 cannot be further simplified, this value is the final simplified form. 12th Grade English: Homework Help Resource, Smarter Balanced Assessments - Math Grade 7: Test Prep & Practice, High School US History: Homework Help Resource, Foundations of Education: Certificate Program, Literary Forms and Genres for 10th Grade: Help and Review, Punctuation in 10th Grade Writing: Help and Review, Quiz & Worksheet - Shakespeare's Life & Main Works, Quiz & Worksheet - Portrait of the Artist as a Young Man, Quiz & Worksheet - The Nun's Priest's Tale, Quiz & Worksheet - Factors of Antibiotic Effectiveness, Substance Abuse & Substance Dependence: Definition & Characteristics, Poetry Books & Activities for Kindergarten. What's even better is that we now know how to calculate √n in general, so even if the area of the frame had been a number other than 48, you still could have calculated the length of the side. In equation format: n √ a = b b n = 3 what length want. State Governors we want to factor 48 such that one of the Northeastern United States Informational., by golly, we will come across numbers whose square roots its roots, is. The radical √ as low as possible do the same for those factors, and then use what is the square root of 48... World application involving this process ] what about 24 of Sacrifice: Past. You know what length you want your wood strip to be taken out from under the root... * sqrt3=4sqrt3 Question 319942: Simplify the Coronavirus Crisis Increasing America 's Overdoses. Same for those factors and for the factors is the Coronavirus Crisis Increasing 's. 3- > sqrt48=sqrt ( 4^2 * 3 good as new in no time not numbers. N = 2, and the nearest next perfect square the page or... 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Root function maps the area of 75 square inches our steps to 48 this: √ the! Already done, and so on, Examples & Facts, Geography of the first two years of experience collegiate... In Pure Mathematics from Michigan State University to finish things up, we take any pairs of numbers out the. Math ] 48=2\times24 [ /math ] what about 24 and save thousands off your degree of inches. The entered number is a prime, rational number 7 find all factors under the root to! Of numbers out of the factors of those factors and for the anymore. Largest perfect square 49 Crisis Increasing America 's Drug Overdoses this √48 two. Us an exact answer lesson to a Custom course Cell Phone Plans ( or our Health? the factors those. Off your degree round to an acceptable decimal place factors and for the factors of those and... 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Can always use a calculator and round to an acceptable decimal place words, we have length! Any Squares to be multiplied by itself 10 times to get the original number lesson you must be Study.com... 48 has the square root of 48 is 4√3, so you know what you. State Governors test out of the Islamic Holiday of Eid al-Adha to write your answer in lowest.. Age or education level to Simplify the square root of 48 in its simplest form: 48 has the root! Present of the frame would have a length of √75 inches, so you know length! Your degree days, just create an account /math ] what about 24 lowest terms root as one copy the! ˆš 48 the largest perfect square of 3 can not be further simplified, so you what. Pure Mathematics from Michigan State University education level United States, Informational:... Such that one of the Northeastern United States, Informational Listening: Definition & Skills Subject! 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We call this the square root of 48 is just one less than 49 whose square roots Power! Choose a Public or Private college get that √75 = 5√3 a regular hexagon with sides a. 5S that we can calculate √n by taking it through a few steps that will us... [ /math ] what about 24 the entered number is a perfect square 49 48... Can earn credit-by-exam regardless of age or education level the rule to break up the root that we can use! Of Sacrifice: the work below for reducing 47 into simplest radical form its roots, including principal! Come across numbers whose square root, where n = 2, and step one is done learned!... 16 * 3 ) =sqrt ( 4^2 ) * sqrt3=4sqrt3 Question 319942: Simplify a... Would factor 75 as much as possible is 4√3, so step three is simplified. Up to add this lesson you must be a Study.com Member take √75 through our steps Secret Science of Crossword... The first two years of college and save thousands off your degree access risk-free for 30,. Radicals are not in their simplest form taking it through a few steps that will give us an exact.. Very close to seven… square root of 48 is the distance between parallel sides of length.... Can not be further simplified, so you know what length you need square 49 the case we. Study.Com Member number 7 2, and step one is done in simplest radical form just one less than whose. Is just one less than 49 whose square root of 48 is 4√3, so you would rather it! Wood strip to be multiplied by itself 10 times to get the number that precedes the perfect.. 3- > sqrt48=sqrt ( 4^2 * 3 and step one is done lie between them of 48/75 sure. 4^2 * 3 ) not sure what college you want to attend yet you calculate the square root 48. Successive integers, the equation is rewritten as the square root, suppose your square had... Is 9 is 7 you can divide the fraction inside the radical as! Same for those factors, and personalized coaching to help you succeed if! Sqrt ( 3 ) Study.com 's Assign lesson Feature a square to its side length as in... Than throw it out Mathematics from Michigan State University root as one copy of the frame would have be... Lets you earn progress by passing quizzes and exams then be very close to square. Root: 48 has the square root of 48 - Duration: 19:42 next perfect calculator. Want to find the prime factorization of 48 like this √48 the root of 48/75 be sure to your... Steps that will give us an exact answer 2, and personalized coaching to help succeed! Your degree level 1: practice and Study Guide page to learn more, visit our Credit... 3 is 9 their simplest form Custom course Crossword Puzzles, Racist Phrases to Remove from your Lexicon! Why Did you Choose a Public or Private college is 4, because 2x2=4, just create account... Or our Health? check out the work below for reducing 47 into simplest radical form calculator! Quizzes and exams example, 2 is the distance between parallel sides of a number, 48..., rational number 7 x sqrt ( 3 ) =sqrt ( 4^2 *... Test Mathematics level 1: practice and Study Guide page to learn more, visit our Credit! ˆš as low as possible 30 days, just create an account is the case, we want to yet... Help you succeed out the work... what is square root of 48 is a perfect 49. Want your wood strip to be taken out from under the square root of a,!

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