Find the square root of 96.
16√6
24
6√4
4√6
The square root of 96 is approximately 9.8.
To find the square root of 96, you can simplify it using prime factors.
Step 1: Prime factorize 96:
96 = 2 * 2 * 2 * 2 * 3
Step 2: Group the prime factors in pairs:
96 = (2 * 2) * (2 * 2) * 3
Step 3: Take one factor from each pair outside the square root symbol and leave the remaining factor inside:
√96 = 2 * 2 * √(2 * 2 * 3)
Step 4: Simplify:
√96 = 4 * √6
Therefore, the square root of 96 is 4√6.
To find the square root of 96, we can use the following steps:
Step 1: Prime factorize 96.
96 = 2^5 * 3
Step 2: Divide the prime factors into pairs. Each pair represents one factor that can be taken outside the square root.
Pair 1: 2 * 2 = 4
Pair 2: 2 * 2 = 4
Step 3: Combine the factors outside the square root.
Combined factors = 4 * 4 = 16
Step 4: Determine the remaining factor inside the square root.
Remaining factor = 3
Putting it all together, the square root of 96 becomes:
√96 = √(16 * 3)
Simplifying further:
√96 = √16 * √3
The square root of 16 is 4, so:
√96 = 4√3
Therefore, the correct option is 4√3.