How do you find the square root of 324 ?

To find the square root of 324, you can use a few different methods. Here’s a straightforward approach:

Using Prime Factorization

First, break down 324 into its prime factors:

• 324 is even, so divide by 2: 324 ÷ 2 = 162
• 162 is also even, divide by 2 again: 162 ÷ 2 = 81
• Next, 81 can be divided by 3: 81 ÷ 3 = 27
• Continue with 27: 27 ÷ 3 = 9
• Finally, divide 9: 9 ÷ 3 = 3
• And 3 is a prime number.

So, the prime factorization of 324 is:

Calculating the Square Root

To find the square root, pair the prime factors:

• From the pairs: (2, 2) and (3, 3)

Take one from each pair:

Final Result

Thus, the square root of 324 is 6.