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# Square Root Worksheets

❶Solving Systems by Graphing Method 3- An exact answer.

Key to Algebra offers a unique, proven way to introduce algebra to your students. New concepts are explained in simple language, and examples are easy to follow. Word problems relate algebra to familiar situations, helping students to understand abstract concepts.

Students develop understanding by solving equations and inequalities intuitively before formal solutions are introduced. Students begin their study of algebra in Books using only integers. Books introduce rational numbers and expressions. Books extend coverage to the real number system. Square Root Worksheet Generator Basic worksheets: Only perfect squares Allow non-perfect squares Answer rounded to decimals.

Only simplify, no answers as decimals Take roots from decimals up to decimal digits. Besides taking a square root, include also: Basic instructions for the worksheets Each worksheet is randomly generated and thus unique. To get a different worksheet using the same options: Square Root Worksheet Generator. For more on that, check the links below. When simplifying a square root, I find that it is easiest to create a factor tree.

A factor tree breaks down a number into it's prime factors. Prime numbers are whole numbers that only have factors of 1 and itself. Examples include 2, 3, 5, 7, 11, 13, 17, 19, See the attached image to view the factor tree, which breaks down 27 into all of its prime factors.

For every pair of prime numbers that are part of the factor tree, you can take one outside of the radical. When evaluating a square root, you first determine between which 2 integers the square root falls using perfect squares. Then find the halfway point between the square root of 25 and 36 which is Thus, the square root of 27 is between 5 and 5. The square root of 26 would be approximately 5.

If you only need an estimate, find numbers near 27 that have whole-number square roots. For 27, the numbers 25 and 36 are around 27 and have whole-number square roots 5 and 6. And since 27 is closer to 25 than 26, you can also estimate that your decimal answer should be closer to 5 than 6, and will likely even be under 5.

Method 3- An exact answer. The answer above shows how to find an exact answer to the square root of If you are having to find the square root of a larger number and are not sure what square numbers go into it, another option is to find the prime factorization of the number breaking the number into all the smallest prime numbers that multiply to make it. For example, the prime factorization of 27 would be 3, 3, 3. The prime factorization of 30 would be 2, 3, 5.

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