What is the square root of 5625?

To find the square root of 5625, we need to first factorize 5625 into its prime factors. This method is called prime factorisation method.

5625 = 3 × 3 × 5 × 5 × 5 × 5

Next, we group the factors into pairs of identical factors:

5625 = (3 × 3) × (5 × 5) × (5 × 5)

Then, we take one factor from each pair and multiply them together:

√5625 = 3 × 5 × 5

Therefore, the square root of 5625 is 75.