Find the square root of 1225using factorisation method

Answer 1

To find the square root of 1225 using the factorization method, we need to express 1225 as the product of its prime factors.

The prime factorization of 1225 is: 5 * 5 * 7 * 7.

Now, we can take the square root of each factor separately:

sqrt(5 * 5 * 7 * 7) = sqrt(5) * sqrt(5) * sqrt(7) * sqrt(7)

Next, we simplify the square roots:

sqrt(5) * sqrt(5) = 5
sqrt(7) * sqrt(7) = 7

Therefore, the square root of 1225 is:

sqrt(1225) = 5 * 7

Thus, the square root of 1225 is 35.