### All GRE Math Resources

## Example Questions

### Example Question #11 : Arithmetic

Find the square root of .

**Possible Answers:**

**Correct answer:**

To simplify, we must try to find factors which are perfect squares. In this case 4 is a factor of 164 and is also a perfect square.

To find the square root of , use the following steps:

### Example Question #11 : Arithmetic

Reduce.

**Possible Answers:**

**Correct answer:**

Use the following arithmetic steps to reduce .

To simplify, we must try to find factors which are perfect squares. In this case 64 is a factor of 192 and is also a perfect square.

Note and are both factors of , however only can be reduced.

### Example Question #11 : Arithmetic

Reduce.

**Possible Answers:**

**Correct answer:**

To reduce this expression, first find factors of , then reduce.

To simplify, we must try to find factors which are perfect squares. In this case 16 is a factor of 368 and is also a perfect square.

The solution is:

### Example Question #11 : Simplifying Square Roots

Find the square root of .

**Possible Answers:**

**Correct answer:**

To reduce this expression, first find factors of , then reduce.

To simplify, we must try to find factors which are perfect squares. In this case 16 is a factor of 416 and is also a perfect square.

The solution is:

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