# Square Root

How to solve the square root of a number: 2 examples and their solutions.

## Example 1

### Example

Square root [√ ], is the opposite operation of square [ ^{2}].

Square

### Solution

Change the number inside the radical sign, 9, to a perfect square.

Think of a positive number whose square is 9.

3 is good because 3^{2} = 9.

So √9 = √3^{2}.

Cancel the square root and the square.

Then √3^{2} = 3.

Square root and square are the opposite operations: just like (+) and (-).

So you can cancel the square root and the square like this.

So 3 is the answer.

## Example 2

### Example

### Solution

Change the number inside the radical sign, 25, to a perfect square.

Think of a positive number whose square is 25.

5 is good because 5^{2} = 25.

So -√25 = -√5^{2}.

Cancel the square root and the square.

Then -√5^{2} = -5.

So -5 is the answer.