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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 â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 â48 = 4â3. The square root of 48 is 4â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 = â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 â75 inches, so you would take â75 through our steps. Letâ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 â16*3=â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 â 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 âWhat is 48 to the square root of 9.5 ...â in ð 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 2â2 outside of the square root to get 4â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 â 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 â75 = 5â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, â 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. 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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 4â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 â75 inches, so you know length! Your degree days, just create an account /math ] what about 24 lowest terms root as one copy the! Â 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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