Question

Which choice is equivalent to the expression below?

Answer 1

Given:

Consider the expression is $\sqrt{-12}$.

To find:

The value of given expression.

Solution:

We have,

$\sqrt{-12}$

It can be written as

$\sqrt{-12}=\sqrt{-1\times 12}$

$\sqrt{-12}=\sqrt{-1}\times \sqrt{12}$      $[\because \sqrt{ab}=\sqrt{a}\sqrt{b}]$

$\sqrt{-12}=i\times \sqrt{12}$      $[\because \sqrt{-1}=i]$

$\sqrt{-12}=\sqrt{12}i$

Therefore, the value of given expression is $\sqrt{12}i$.

Note: all options are incorrect.