Algebra II : Understanding Radicals

Study concepts, example questions & explanations for Algebra II

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Example Questions

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Example Question #91 : Understanding Radicals

Solve:  

Possible Answers:

Correct answer:

Explanation:

We will need to rewrite the negative exponent as a fraction.

Recall that the denominator of the power represents the root index, and the numerator of the power represents what the quantity is raised to.

Replace the denominator.

The answer is:  

Example Question #92 : Understanding Radicals

Solve:  

Possible Answers:

Correct answer:

Explanation:

The denominator of the fractional exponent represents the index of the radical.

Rewrite the expression in radical form.  A radical with an index of 2 is simply the square root of a number.

The answer is:  

Example Question #93 : Understanding Radicals

What is  equivalent to?

Possible Answers:

Correct answer:

Explanation:

The denominator represents the index of the square root.  The numerator is the  power that the quantity is raised to.

Rewrite the expression as a radical.

The answer is:  

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