what is the square root of a 324?

To find the square root of 324, we will first factorize 324 into its prime factors.

Prime factorization of 324:

324 = 2² × 3⁴

Now, we will use the following formula to find the square root of 324:

Square root of 324 = Square root of (2² × 3⁴)

= (Square root of 2²) × (Square root of 3⁴)

= 2 × 3²

= 18

Therefore, the square root of 324 by factorization method is 18.