# High School Math : Radicals

## Example Questions

### Example Question #1 : Expressing Radicals As Exponents

Simplify:

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:

Explanation:

Begin by converting each exponent to have a denominator of :

Finally, simplify:

### Example Question #61 : Algebra Ii

Express the following exponent in radical form:

Explanation:

Begin by converting each exponent to have a denominator of :

Now, put this in radical form:

Finally, simplify:

### Example Question #62 : Algebra Ii

Explanation:

Begin by converting the radical into exponent form:

Simplify the exponent and multiply:

Simplify:

### Example Question #63 : Algebra Ii

Express the following exponent in radical form:

Explanation:

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

Now, put this in radical form and simplify:

### Example Question #1 : Simplifying Radicals

Factor and simplify the following radical expression:

Explanation:

Begin by factoring the integer:

Now, simplify the exponents:

### Example Question #2 : Simplifying Radicals

Factor and simplify the following radical expression:

Explanation:

Begin by converting the radical into exponent form:

Now, multiply the exponents:

### Example Question #3 : Simplifying Radicals

Factor and simplify the following radical expression:

Explanation:

Begin by converting the radical into exponent form:

Now, combine the bases:

Simplify the integer:

Now, simplify the exponents:

Convert back into radical form and simplify:

### Example Question #4 : Simplifying Radicals

Factor and simplify the following radical expression:

Explanation:

Begin by multiplying the numerator and denominator by the complement of the denominator:

Use the FOIL method to multiply the radicals. F (first) O (outer) I (inner) L (last)

Now, combine like terms:

Simplify:

### Example Question #5 : Simplifying Radicals

Factor and simplify the following radical expression: