# Simplifying formulas » Square roots

## What are the rules?

+ = 2

+ = cannot be shortened

(with `a` ≥ 0 and `b` ≥ 0)

(with a ≥ 0 and b > 0) |

All the basic calculation rules apply too, of course.

With the rule at the top, you can also simplify square roots.

#### Addition examples

6 + 3 = 9

3 + 2 = 5

7 – + 2 = 6 + 2

10 + 2 = 12 = 12 × 4 = 48

#### Multiplication examples

The intermediate step in the middle is not necessary.

#### Division example

(with ab > 0) |

#### When possible: remove the square root

Sometimes, it might happen that the square you get after simplifying is a square.

In that case you HAVE TO remove the square root.

When you multiply with the same square root, you can also remove it.

You can also write immediately this: