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

Michael Lenzen asked Apr 20, 2023

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35 votes

Complex numbers

simplify.

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

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

Michael Lenzen asked Apr 20, 2023

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23 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

Bohdan Vorona answered Apr 26, 2023

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