### All SAT Math Resources

## Example Questions

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

Simplify:

**Possible Answers:**

**Correct answer:**

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

**Possible Answers:**

**Correct answer:**

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 16x^{2}.

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:

**Possible Answers:**

**Correct answer:**

Explanation:

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

Then separate into several roots being multiplied:

Simplify:

Edmund

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### All SAT Math Resources

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