GED Math : Square Roots and Radicals

Study concepts, example questions & explanations for GED Math

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Example Questions

Example Question #11 : Square Roots And Radicals

Factor:  

Possible Answers:

Correct answer:

Explanation:

In order to factor this, we will need to rewrite root 88 by factoring using values of perfect squares.

The answer is:  

Example Question #12 : Square Roots And Radicals

Rationalize:  

Possible Answers:

Correct answer:

Explanation:

In order to rationalize the radical, we will need to multiply both the top and bottom by square root two.

The answer is:  

Example Question #13 : Square Roots And Radicals

Rationalize:  

Possible Answers:

Correct answer:

Explanation:

In order to eliminate the radical on the denominator, we will need to multiply root five on the top and bottom of the fraction.

The answer is:  

Example Question #14 : Square Roots And Radicals

Rationalize:  

Possible Answers:

Correct answer:

Explanation:

Simplify the denominator by factoring using perfect squares.

Rewrite the fraction.

Multiply the top and bottom by root 5.

The answer is:  

Example Question #15 : Square Roots And Radicals

Rationalize:  

Possible Answers:

Correct answer:

Explanation:

Factor the denominator by factors of perfect squares.

Replace the term.

Multiply by root three on the top and bottom.

The answer is:  

Example Question #16 : Square Roots And Radicals

Rationalize:  

Possible Answers:

Correct answer:

Explanation:

Multiply by root 14 on the top and bottom of the fraction.

The fraction becomes:  

Simplify the radical with factors of perfect squares.

Reduce the fraction.

The answer is:  

Example Question #17 : Square Roots And Radicals

Rationalize the radical:  

Possible Answers:

Correct answer:

Explanation:

Multiply the radical on the top and bottom of the given fraction.

Simplify the fraction.

The answer is:  

Example Question #18 : Square Roots And Radicals

Rationalize:  

Possible Answers:

Correct answer:

Explanation:

Multiply the radical on the top and bottom of the fraction.

Reduce the fraction.

The answer is:  

Example Question #19 : Square Roots And Radicals

Rationalize:  

Possible Answers:

Correct answer:

Explanation:

Multiply the denominator on the top and bottom.

The answer is:  

Example Question #20 : Square Roots And Radicals

Simplify the following expression:

Possible Answers:

Correct answer:

Explanation:

Start by analyzing each given term.

 cannot be reduced any further, so leave it alone.

Notice that  can be rewritten as 

Next, notice that  can be rewritten as 

Now, rewrite the original equation:

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