Question

By splitting into prime factors,find the square root of:
1.11025

Answer 1

Square root of 1.11025 is 195.

Explanation:

To find the square root of a number, it is helpful to first express the number as a product of its prime factors. Let's begin by finding the prime factors of 1.11025.

1.11025 = 3 * 3 * 5 * 5 * 13 * 13

Now, we can group the prime factors into pairs and take the square root of each pair:

√(3 * 3 * 5 * 5 * 13 * 13) = (3 * 5 * 13) = 195

Therefore, the square root of 1.11025 is 195.