Find the square root of 96, (1 point)
O 24
O 6sqrt(4)
O 4sqrt(6)
O 16sqrt(6)
None of the given options is the correct square root of 96. The square root of 96 can be expressed as an irrational number as approximately 9.798.
To find the square root of 96, we can factorize it:
96 = 2 * 2 * 2 * 2 * 3
Now, let's group the factors in pairs:
96 = (2 * 2) * (2 * 2) * 3
Simplifying, we have:
96 = 4 * 4 * 3
Now, we can rewrite it as:
96 = 16 * 3
Taking the square root of both sides, we get:
√(96) = √(16 * 3)
Now, we can take the square root of each factor:
√(96) = √16 * √3
Simplifying further:
√(96) = 4 * √3
Therefore, the square root of 96 is 4√3.
So, the correct answer is:
O 4√(6)
To find the square root of 96, you can use the fact that the square root of a number is the value that, when multiplied by itself, gives the original number. Here's how you can do it:
1. Start by factoring the number 96 into its prime factors: 2 * 2 * 2 * 2 * 3.
2. Group the pairs of similar factors together. In this case, there are two pairs of 2's: (2 * 2) and (2 * 2).
3. Take one number from each pair and multiply them together. In this case, take 2 from the first pair and 2 from the second pair. Multiply them: 2 * 2 = 4.
4. Take the remaining factor, which is 3, and bring it outside the square root symbol.
5. Combine the numbers obtained from steps 3 and 4, and express the answer as a simplified radical: 4√3.
So, the correct answer is O 4sqrt(3).