Complex numbers simplify. \left(\sqrt{-5}+2\sqrt{20}\right)\left(-\sqrt{-5}\right)

asked Jun 15, 2023 222k views

9 votes

Complex numbers

simplify.

\left(\sqrt{-5}+2\sqrt{20}\right)\left(-\sqrt{-5}\right)

$Complex numbers simplify. \left(\sqrt{-5}+2\sqrt{20}\right)\left(-\sqrt{-5}\right-example-1$

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2 votes

Answer:

-5+ 20i

Explanation:

just distribute:
(√(-5))(2√(20)+√(-5)) --->
(2√(-100)) -5 and because 100 is the perfect square of 10 you get -5+20i

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