Express the number in terms of i . $\sqrt { - 40 }$
A) -40i
B) -$2 \sqrt { 10 } i$
C) 40i
D) $2 \sqrt { 10 } i$
E) 10i

Name: Express the number in terms of i . $\sqrt { - 40 }$ A) -40i B) -$2 \sqrt { 10 } i$ C) 40i D) $2 \sqrt { 10 } i$ E) 10i
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Question

Quizplus · Accepted Answer

The square root of a negative number can be expressed in terms of i, where i is the imaginary unit defined as $i = \sqrt{-1}$. Therefore, $\sqrt{-40} = \sqrt{40} \cdot \sqrt{-1} = \sqrt{4 \cdot 10} \cdot i = 2\sqrt{10}i$.

Express the Number in Terms of I −40\sqrt { - 40 }−40​

Express the Number in Terms of I $\sqrt { - 40 }$