SAT Math : How to simplify square roots

Study concepts, example questions & explanations for SAT Math

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Example Questions

Example Question #1011 : Sat Mathematics

Simplify: 

Possible Answers:

Correct answer:

Explanation:

To solve this problem, consider PEMDAS first. Do the math inside the parentheses before performing the square root.

 Then we just find perfect squares inside the radical.

Square roots will always generate real values. 

Example Question #62 : Basic Squaring / Square Roots

Simplify: 

Possible Answers:

Correct answer:

Explanation:

To solve this problem, consider PEMDAS first. Do the math inside the parentheses before performing the square root.

 Then we just find perfect squares inside the radical.

Square roots will always generate real values. 

Example Question #61 : Basic Squaring / Square Roots

Simplify: 

Possible Answers:

Correct answer:

Explanation:

To simplify radicals, we need to find a perfect square to factor out. In this case, its .

Example Question #66 : Basic Squaring / Square Roots

Simplify: 

Possible Answers:

Correct answer:

Explanation:

We need to apply the power rule of multiplying exponents and break it down. 

Example Question #67 : Basic Squaring / Square Roots

Simplify: 

Possible Answers:

Correct answer:

Explanation:

To simplify radicals, we need to find a perfect square to factor out. In this case, its .

Example Question #31 : How To Simplify Square Roots

Simplify: 

Possible Answers:

Correct answer:

Explanation:

To simplify radicals, we need to find a perfect square to factor out. In this case, its .

Example Question #131 : Arithmetic

Simplify: 

Possible Answers:

Correct answer:

Explanation:

To simplify radicals, we need to find a perfect square to factor out. In this case, its .

Example Question #64 : Basic Squaring / Square Roots

Simplify: 

Possible Answers:

Correct answer:

Explanation:

To simplify a square root, we need to find perfect squares. In this case, it is .

 

Remember you can reduce the fraction even further.

Example Question #71 : Basic Squaring / Square Roots

Simplify: 

Possible Answers:

Correct answer:

Explanation:

To simplify a square root, we need to find perfect squares. In this case, it is .

 

Remember you can reduce the fraction even further.

Example Question #72 : Basic Squaring / Square Roots

Simplify: 

Possible Answers:

Correct answer:

Explanation:

To simplify radicals, we need to factor out perfect squares. In this case, it's .

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