# Algebra II : Multiplying and Dividing Radicals

## Example Questions

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### Example Question #61 : Multiplying And Dividing Radicals

Multiply:

Explanation:

It is possible to multiply all the integers together to form one radical, but doing so will give a square root of a value that will need to be factored.

Instead, rewrite each square root by their factors.

A radical multiplied by itself will become the integer.  Simplify the expression.

### Example Question #62 : Multiplying And Dividing Radicals

Explanation:

This value can be simplified as a perfect square.

### Example Question #61 : Multiplying And Dividing Radicals

Explanation:

In order to multiply these radicals, we are allowed to multiply all three integers to one radical, but the final term will need to be simplified.

Instead, we can pull out common factors in order to simplify the terms.

Rewrite the expression.

A radical multiplied by itself will give just the integer.

### Example Question #1502 : Mathematical Relationships And Basic Graphs

Explanation:

Rationalize the denominator by multiplying the square root of 60 on the numerator and denominator.

Simplify the top and bottom of the fractions.

The radical can be simplified by using common factors of perfect squares.

Rewrite the term.

### Example Question #65 : Multiplying And Dividing Radicals

Evaluate:

Explanation:

Since all terms are in radicals, we can simplify the terms by using common factors.

Rationalize the denominator.

### Example Question #66 : Multiplying And Dividing Radicals

Multiply:

Explanation:

We can simplify the radicals before expanding by multiplication.