Question

Simplify the square root:square root of negative 72 end rootAnswer choices Include:2 i square root of 186 i square root of 218 i square root of 22 i square root of 6

Answer 1

We need to simplify the next square root:

$\sqrt[]{-72}$

First, we need to rewrite the expression as:

$\sqrt{-72}=\sqrt[]{-1}\ast\sqrt[]{72}$

Where √-1 = i

Therefore:

$\sqrt{-1}\ast\sqrt{72}=\sqrt[]{72}\text{ i}$

Finally, we can simplify inside of the square root:

$\sqrt[]{72}i=\sqrt{6\ast6\ast2}i=\sqrt{6^2\ast2}i=6i\sqrt[]{2}^$

Therefore, the correct answer is "6 i square root of 2".