Algebra II : Square Roots

Study concepts, example questions & explanations for Algebra II

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Example Questions

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Example Question #21 : Square Roots

Evaluate:  

Possible Answers:

Correct answer:

Explanation:

Evaluate each square root.  The square root of a number evaluates into a number which multiplies by itself to achieve the number in the square root.

Substitute the terms back into the expression.

The answer is:  

Example Question #22 : Square Roots

Solve:  

Possible Answers:

Correct answer:

Explanation:

Solve each radical.  The square root determines a number that multiples by itself to equal the number inside the square root.

Rewrite the expression.

The answer is:  

Example Question #21 : Radicals

True or false:  is a radical expression in simplest form.

Possible Answers:

True

False

Correct answer:

False

Explanation:

A radical expression which is the th root of a constant is in simplest form if and only if, when the radicand is expressed as the product of prime factors, no factor appears  or more times.  Since  is a square, or second, root, find the prime factorization of 52, and determine whether any prime factor appears two or more times.

52 can be broken down as

and further as

The factor 2 appears twice, so  is not in simplest form.

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