Find the square root of 96.
6√4
16√6
24
4√6
The square root of 96 is 4√6.
To find the square root of 96, we can break it down into its prime factors: 2^5 * 3. The square root of 96 can then be simplified as 4√6.
To find the square root of 96, we can use the following steps:
1. Start by realizing that 96 is not a perfect square (a number obtained by squaring an integer).
2. Divide 96 by perfect square numbers starting with 4 (since 4 is the smallest perfect square greater than 96).
3. Divide 96 by 4: 96 ÷ 4 = 24.
4. Continue dividing the quotient (24) by perfect square numbers until you find a quotient that is very close to the divisor (indicating that it is the square root).
5. Divide 24 by 4: 24 ÷ 4 = 6.
6. We can see that 6 is the square root of 96, so the correct answer is 6√4.
Therefore, 6√4 is the square root of 96.