# SAT Math : How to simplify square roots

## Example Questions

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### Example Question #51 : How To Simplify Square Roots

Simplify:

Explanation:

To eliminate a radical expression, we need to multiply top and bottom by the denominator.

Then simplify if necessary.

### Example Question #151 : Arithmetic

If , simplify

Explanation:

In order to simplify the expression, we must see if we can factor out any perfect squares.

In this case, we can factor out 16x2.

Because of the rules of square roots, this can be rewritten as:

Because  simplifies to

Thus, we can rewrite as

### Example Question #51 : How To Simplify Square Roots

Simplify:

Explanation:

To simplify square roots, factor the inside completely to find perfect squares:

Then separate into several roots being multiplied:

Simplify:

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