Question

What is the value of x in simplest radical form?

a) -3√12
b) -√72
c) -6√2
d) -√89

Answer 1

The value of x in simplest radical form is (b) -√72. The square root of 72 can be simplified as -6√2.

Step-by-step explanation:

The value of x in simplest radical form is (b) -√72.

The square root of 72 can be simplified as follows:

1. Find the prime factors of 72, which are 2, 2, 2, 3, and 3.
2. Group the prime factors in pairs, one from inside the square root and one outside, like this: √(2 x 2 x 2 x 3 x 3).
3. Take one factor from each pair out of the square root, and multiply them together, which gives us 2 x 3 = 6.
4. The remaining factor inside the square root is 2, so the simplified square root is -6√2.

Therefore, the value of x in simplest radical form is -√72