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valkas [14]
3 years ago
7

Simplify the square root of -72

Mathematics
1 answer:
kupik [55]3 years ago
5 0

Answer:

6i\sqrt{2}

Step-by-step explanation:

Using the rule of radicals

\sqrt{a} × \sqrt{b} = \sqrt{ab} and \sqrt{-1} = i

Given

\sqrt{-72}

= \sqrt{36(2)(-1)}

= \sqrt{36} × \sqrt{2} × \sqrt{-1}

= 6\sqrt{2} × i

= 6i\sqrt{2}

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