3 years ago

Write in terms of i . Simplify your answer as much as possible. Square root -27

Mathematics

1 answer:

Nat2105 [25]3 years ago

6 0

Answer:

3i $\sqrt{3}$

Step-by-step explanation:

Using the rule of radicals

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

Given

$\sqrt{-27}$

= $\sqrt{9(3)(-1)}$

= $\sqrt{9}$ × $\sqrt{3}$ × $\sqrt{-1}$

= 3i $\sqrt{3}$

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