High School Math : Understanding Radicals

Study concepts, example questions & explanations for High School Math

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Example Questions

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Example Question #1 : Expressing Radicals As Exponents

Simplify:

Possible Answers:

Correct answer:

Explanation:

Multiply the numerator and denominator to the exponent:

 

Simplify the expression by combining like terms:

 

 

Example Question #11 : Understanding Radicals

Express the following exponent in radical form:

Possible Answers:

Correct answer:

Explanation:

Begin by converting each exponent to have a denominator of :

 

Now, rearrange into radical form:

 

Finally, simplify:

Example Question #61 : Algebra Ii

Express the following exponent in radical form:

Possible Answers:

Correct answer:

Explanation:

Begin by converting each exponent to have a denominator of :

Now, put this in radical form:

Finally, simplify:

Example Question #62 : Algebra Ii

Simplify the following radical expression using exponents. Express the final answer in radical form.

Possible Answers:

Correct answer:

Explanation:

Begin by converting the radical into exponent form:

Simplify the exponent and multiply:

Convert into radical form:

Simplify:

 

Example Question #63 : Algebra Ii

Express the following exponent in radical form:

Possible Answers:

Correct answer:

Explanation:

Begin by changing the fractional exponents so that they both have a common denominator of :

Now, put this in radical form and simplify:

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