# what is the square root of 4

The square root of 4 is 2. The square root of a number is a value that, when multiplied by itself, gives the original number.

For example, the square root of 4 is 2 because 2 x 2 = 4. Here 2 is called the square root of 4. 4 is a perfect square. So the square root of 4 is 2. Non-square numbers also have a square root, just that they are not whole numbers.

The symbol for the square root is √, so we can write the square root of 4 as √4 = 2.

## Square root of 4 using prime factorization

4 = 2 × 2

√4 = √22

√4 = (2(2))½

By the law of exponents, considering the powers alone, 2 × ½ = 1.

(2(2))½ = 2

√4 = 2