Find the square root of 2116 by prime factorization method.

To find the square root of 2116 using the prime factorization method, follow these steps:

Prime factorize the number 2116:
The prime factorization of 2116 is 2^2 * 17^2.

Take the square root of each prime factor:
The square root of 2^2 is 2.
The square root of 17^2 is 17.

Multiply the square roots obtained in the previous step:
The square root of 2116 is 2 * 17, which equals 34.

Therefore, the square root of 2116 by prime factorization method is 34.