4 years ago

Simplify the square root of -72

Mathematics

1 answer:

kupik [55]4 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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