Question

Rewrite the irrational cube root root(48, 3) as a product of an integer and another irrational cube root.
O 2 * root(6, 3)

O 4 * root(3, 3)

O - 2 * root(6, 3)

(1 point)

O 4 * root(12, 3)

Answer 1

The correct answer is O 2 * root(6, 3).

To rewrite the irrational cube root root(48, 3) as a product of an integer and another irrational cube root, we need to find a perfect cube that divides 48.

48 can be divided by 8, which is a perfect cube. So, we can rewrite root(48, 3) as root(8 * 6, 3).

Taking the cube root of 8, we get 2. Therefore, root(8, 3) is equal to 2.

Hence, root(48, 3) can be written as 2 * root(6, 3).