Question

using prime factorization method find the square root of the following number 1) 3364 2) 5625 3) 7744 4) 12545 ​

Answer 1

Answer:

hope it helps u

Step-by-step explanation:

1. The square root of 3364 is 58.

2. The prime factors of 5625 is 3 x 3 x 5 x 5 x 5 x 5. Hence, 3^2 x 5^2 x 5^2 = 5625. Thus the square root of 5625 is 75.

3. Hence the square root of 7744 is 88 by using the prime factorization method.

4. We know that

square root of 9025

It can be written as

9025

=

5×5×19×19

So we get

=5×19

=95