GED Math : Square Roots and Radicals

Study concepts, example questions & explanations for GED Math

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Example Questions

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Example Question #1 : Square Roots And Radicals

Simplify:

Possible Answers:

Correct answer:

Explanation:

An alternate solution is:

Example Question #2 : Square Roots And Radicals

Simplify:

Possible Answers:

Correct answer:

Explanation:

Example Question #3 : Square Roots And Radicals

Simplify:

Possible Answers:

Correct answer:

Explanation:

Example Question #4 : Square Roots And Radicals

Simplify:

Possible Answers:

Correct answer:

Explanation:

 

Example Question #5 : Square Roots And Radicals

Simplify:

Possible Answers:

Correct answer:

Explanation:

Example Question #6 : Square Roots And Radicals

Numberline_1

Refer to the above number line. What point most likely represents the square root of 280?

Do not use a calculator.

Possible Answers:

Correct answer:

Explanation:

Therefore, 

making the correct choice .

Example Question #7 : Square Roots And Radicals

Simplify:

Do not use a calculator.

Possible Answers:

The expression is in simplest form.

Correct answer:

Explanation:

The prime factorization of 48 is 

.

Rewrite, and use the product of radicals property to simplify:

Example Question #8 : Square Roots And Radicals

Simplify:

Do not use a calculator.

Possible Answers:

The expression is in simplest form.

Correct answer:

The expression is in simplest form.

Explanation:

The prime factorization of 42 is 

.

Since 42 is the product of distinct primes, it has no perfect square factors, and, therefore, its square root cannot be simplified further. It is already in simplifed form.

Example Question #9 : Square Roots And Radicals

Factor:  

Possible Answers:

Correct answer:

Explanation:

In order to factor the radical, we will need to rewrite 120 as multiples of perfect squares.

Reduce the known term

The value of  cannot be factored any further.

The answer is:  

Example Question #10 : Square Roots And Radicals

Factor:  

Possible Answers:

Correct answer:

Explanation:

Rewrite the root 40 in factors of perfect squares.

The answer is:  

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