Question #87457

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Question #87457

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Answer 1 · 2017-06-13T17:29:13

$2 \sqrt{10} i$ $2sqrt10i$

Explanation:

$\sqrt{- 40}$ $sqrt(-40)$ is a complex root.
Complex roots are roots of negative numbers.
$\sqrt{- 40} = \sqrt{- 1} \cdot \sqrt{40}$ $sqrt(-40)=sqrt(-1)*sqrt40$
$\sqrt{- 1}$ $sqrt(-1)$ is an imaginary number in maths (notated by $i$ $i$ )
Therefore, $\sqrt{- 40} = \sqrt{40} i = \sqrt{4 \cdot 10} i = 2 \sqrt{10} i$ $sqrt(-40)=sqrt40i=sqrt(4*10)i=2sqrt10i$

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Question #87457

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