Find the square root of 96, (1 point)
O 16sqrt(6)
24
0 6sqrt(4)
4sqrt(6)
The square root of 96 can be simplified to 4sqrt(6).
To find the square root of 96, you can simplify it by factoring out the perfect square. First, we can factor out the perfect square 16 from 96:
96 = 16 * 6
Now, we rewrite the square root of 96 using the factored form:
√96 = √(16 * 6)
Using the property of square roots which states that √(ab) = √a * √b, we can split the square root:
√96 = √16 * √6
The square root of 16 is a whole number, 4. So, we can simplify further:
√96 = 4√6
Therefore, the square root of 96 is 4√6.
To find the square root of 96, we can use a calculator or simplify the number manually. Let's simplify it manually:
First, we can break down 96 into its prime factors:
96 = 2 * 2 * 2 * 2 * 2 * 3 = 2^5 * 3
Then, we can group the prime factors in pairs and take out the square roots:
96 = 2^2 * 2^2 * 2 * 3 = (2^2 * 2^2) * (2 * 3) = 4 * 6
Now, we can take the square root of each factor separately:
sqrt(4) = 2
sqrt(6) = sqrt(2 * 3)
However, we cannot simplify sqrt(2 * 3) any further since both 2 and 3 are prime numbers. Therefore, the square root of 96, in simplest radical form, is:
sqrt(96) = sqrt(4 * 6) = 2 * sqrt(6)
So, the correct answer is:
Square root of 96 = 2 * sqrt(6)