SAT Math : How to divide square roots

Study concepts, example questions & explanations for SAT Math

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Example Questions

Example Question #1742 : Psat Mathematics

(√27 + √12) / √3 is equal to

Possible Answers:

√3

5

5/√3

18

(6√3)/√3

Correct answer:

5

Explanation:

√27 is the same as 3√3, while √12 is the same as 2√3.

3√3 + 2√3 = 5√3

(5√3)/(√3) = 5

Example Question #1 : How To Divide Square Roots

Simplify: 

Possible Answers:

Correct answer:

Explanation:

When dividing square roots, we divide the numbers inside the radical. Simplify if necessary.

Example Question #2 : How To Divide Square Roots

Simplify: 

Possible Answers:

Correct answer:

Explanation:

When dividing square roots, we divide the numbers inside the radical. Simplify if necessary.

 

Let's simplify this even further by factoring out a .

Example Question #3 : How To Divide Square Roots

Simplify: 

Possible Answers:

Correct answer:

Explanation:

When dividing square roots, we divide the numbers inside the radical. Simplify if necessary.

 
Let's simplify this even further by factoring out a .

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