## Example Questions

### Example Question #121 : Arithmetic

Simplify the following:      Explanation:

To solve, you must first break up 54 into its smallest prime factors. Those are: Since our root has index 2, that means that for every 2 identical factors inside, you can pull 1 out. Thus, we get ### Example Question #21 : How To Simplify Square Roots

Simplify       Explanation:

To simplify a square root, we need to find perfect squares. In this case, it is . ### Example Question #55 : Basic Squaring / Square Roots

Simplify:       Explanation:

To simplify a square root, we need to find perfect squares. In this case, it is . ### Example Question #21 : How To Simplify Square Roots

Simplify:       Explanation:

To simplify a square root, we need to find perfect squares. In this case, it is . Since there is a number outside the radical, we ignore that for now and later we multiply the number and square root. ### Example Question #51 : Basic Squaring / Square Roots

Simplify:       Explanation:

To simplify a square root, we need to find perfect squares. In this case, it is . Since there is a number outside the radical, we ignore that for now and later we multiply the number and square root. ### Example Question #21 : How To Simplify Square Roots

Simplify:       Explanation:

To simplify radicals, we need to find a perfect square to factor out. In this case, its . ### Example Question #121 : Arithmetic

Simplify:       Explanation:

To simplify radicals, we need to find a perfect square to factor out. In this case, its . ### Example Question #22 : How To Simplify Square Roots

Simplify:       Explanation:

To solve this, we know perfect squares are able to simplify easily to the base it is. Let's find all the perfect squares in . ### Example Question #61 : Basic Squaring / Square Roots

Simplify:     It's impossible because the value is negative. Explanation:

Although the exponent is negative, we know that . Therefore, we have . Let's simplify this by finding perfect squares. ### Example Question #61 : Basic Squaring / Square Roots

Simplify:       To solve this, we know perfect squares are able to simplify easily to the base it is. Let's find all the perfect squares in .  