Show the index form of 32 Check to see if the number has an integer root: The index form is a root (r) raised to a power of n. Also, we multiply r (n) times In this case, r = 2 and n = 5. The square Root of 256 in its simplest form means to get the number 256 inside the radical √ as low as possible. 16 times 16 equals 256. Lv 4. 256 is a perfect square, which means that you can simply calculate the square Root of 256 to get the answer. Here you can submit another square root that we will display in its … Find the square root, or the two roots, including the principal root, of positive and negative real numbers. 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Perfect Squares & Square Roots up to 144: Lesson for Kids, Prentice Hall Algebra 2: Online Textbook Help, Test for Admission into Catholic High Schools (TACHS): Practice & Study Guide, Glencoe Pre-Algebra: Online Textbook Help, Intermediate Algebra for College Students, ICAS Mathematics - Paper I & J: Test Prep & Practice, TECEP Applied Liberal Arts Mathematics: Study Guide & Test Prep, ASSET Numerical Skills Test: Practice & Study Guide, TExES Mathematics 7-12 (235): Practice & Study Guide, GED Math: Quantitative, Arithmetic & Algebraic Problem Solving, Biological and Biomedical Covers expressing number in index form. 256 is a perfect square, which means that you can simply calculate the square Root of 256 to get the answer. The square Root of 256 in its simplest form means to get the number 256 inside the radical √ as low as possible. The only square root of zero is zero. Also tells you if the entered number is a perfect square. Index form of eighth root of 100 is expressed as 100 1/8. 11, neither of which is a square number. © copyright 2003-2020 Study.com. The square root radical is simplified or in its simplest form only when the radicand has no square factors left. Thus, the square Root of 256 in simplest radical form is: 16. For example, 4 has two square roots: 2 and -2. What is the Square Root of 256 in simplest radical form? We get the square root by forming pairs of similar prime factors, then multiplying one number from each pair with... Our experts can answer your tough homework and study questions. Graph f(x) = \sqrt{x}. All other trademarks and copyrights are the property of their respective owners. The index is 2. Fill in the blanks - 27431062 bye all of you i am going from this app thank you all and my best friend twinkle ji. But -5 x -5 is 25 too, so -5 is also a square root of 25. For instance, 5 x 5 = 25, so a square root of 25 is 5. If we have the nth root of a number, the index is n. The index means how many times do we multiply the number by itself. The symbol that we use for square root, √, always means a positive square root however. We get the square root by forming pairs of similar prime factors, then multiplying one number from each pair with... See full answer below. The only square root of zero is zero. So for square roots, we do it twice. Check out the work below for reducing 256 into simplest radical form . Simplest Radical Form Calculator. Square Root Of 256. answer! n th root of a is expressed as a 1/n. 2 0. Services, Evaluating Square Roots of Perfect Squares, Working Scholars® Bringing Tuition-Free College to the Community. Create your account. The square root of 256 is 16. (1) Fifth root of 13 = (13) 1/5 (2) Sixth root of 9 = (9) 1/6 (3) Square root of 256 = (256) 1/2 (4) Cube root of 17 = (17) 1/3 (5) Eighth root of 100 = … Index form of cube root of 17 is expressed as 17 1/3. A square root of a number is some value that, when multiplied by itself, returns that same number (Wikipedia, 2019). Free math problem solver answers your algebra, geometry, trigonometry, calculus, and statistics homework questions with step-by-step explanations, just like a math tutor. Index form of square root of 256 is expressed as 256 1/2. Email: donsevcik@gmail.com Tel: 800-234-2933; A whole number with a square root that is also a whole number is called a perfect square. This site is using cookies under cookie policy. All rights reserved. We know that: So, we can write 8 as 2 3.. A whole number with a square root that is also a whole number is called a perfect square. 2 5 = 32. For example, 4 has two square roots: 2 and -2. The square root radical is simplified or in its simplest form only when the radicand has no square factors left. Become a Study.com member to unlock this 0 0. mozzerella20. The Work . What is its domain? 2. Calculate the positive principal root and negative root of positive real numbers. Calculate the positive principal root and negative root of positive real numbers. Likewise, 27 can be written as 3 3 and 125 can be written as 5 3.. View this answer. Also tells you if the entered number is a perfect square. the square root of 256 is 16. So √16 is 4 (and not -4). Therefore, is in its simplest form. (4) Cube root of 17. So far, we have considered numbers that have a group of the same factors.Sometimes, a number has more than one group of the same factors as shown in the following example. (6) Seventh root of 30. Earn Transferable Credit & Get your Degree, Get access to this video and our entire Q&A library. Source(s): https://shorte.im/ba9fr. 1 decade ago. Index form of seventh root of 30 is expressed as 30 1/7. Find the square root, or the two roots, including the principal root, of positive and negative real numbers. Square root calculator and perfect square calculator. Square root calculator and perfect square calculator. 16 times 16 equals 256. Sciences, Culinary Arts and Personal (5) Eighth root of 100. Run Another Calculation.