Find the cubic root of 96. (1 point)
4sqrt(6)
O 2 * root(12, 3)
0 2 * root(7, 3)
O 2sqrt(12)
To find the cubic root of 96, first, we need to find the prime factorization of 96. The prime factorization is 2^5 * 3.
Now, we can rewrite 96 as (2^3 * 3) * 2^2.
Taking the cubic root of each factor separately, we get:
Cubic root of 2^3 * 3 = 2 * cube root of 3
Cubic root of 2^2 = 2
Therefore, the cubic root of 96 is 2 * cube root of 3.
So, the correct option is:
2 * root(12, 3)
To find the cubic root of 96, you need to find a number that, when multiplied by itself three times (cubed), equals 96.
One way to approach this is to use prime factorization to break down the number 96 into its prime factors: 2^5 * 3.
Next, take groups of three from the prime factors, which gives us 2^1 * 3^1 = 6.
Therefore, the cubic root of 96 is the square root of 6, which can be written as ∛96 = √6.
However, none of the answer options provided reflect this result.
None of the options provided is the cubic root of 96. The correct answer is:
o 4.3267 (rounded to four decimal places)