# Simplify Square Roots, Simplify Square Roots Calculator

## Simplifying Square Roots

Before we move forward and learn about square roots of products, be sure you understand the basics. Recommended reading: Square Roots.

- Let's look at an real example:

$$\sqrt{60}$$

$$\sqrt{2\times 30}$$

$$\sqrt{2\times 2\times 15}$$

$$\sqrt{2\times 2\times 3\times 5}$$

$$2\sqrt{3\times 5}$$

$$2\sqrt{15}$$

- Here is a tip. If the number to be factored is large, use Prime Factorization.

**Simplifying Square Roots**. A square root expression is considered simplified if the radicand has no repeated factors. To simplify, factor the radicand and move any factors that appears twice outside the square root sign.

Please Read! To use this calculator is easy. You can use any input format shown in the table above. You indicate the radical sign with the letter "r". Example 10r(7-4) = 10√(7-4) = 10√3.