Question

Simplify this equation 9} " alt=" 4\sqrt{ - 99} " align="absmiddle" class="latex-formula">
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Answer 1

Answer:

$12i\sqrt{11}$

Step-by-step explanation:

Simplify:

Split the radical into two factors with a perfect square as at least one factor

$4\sqrt{9} \sqrt{-11}$

Evaluate the perfect square

$4(3)\sqrt{-11}$

$12\sqrt{-11}$

Since we cannot have a negative in a radical we need to factor out $\sqrt{-1}$ which is represented as $i$

$12i\sqrt{11}$