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Use the imaginary number $i$ to rewrite the expression below as a complex number. $\newline$ $-\sqrt{-95}$

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Introduction to complex numbers

Full solution

Q. Use the imaginary number

i

to rewrite the expression below as a complex number.

\newline

-\sqrt{-95}

Rewrite as product of square roots: Express $- \sqrt{-95}$ as the product of square roots and $\sqrt{-1}$ . $- \sqrt{-95}$ = $- \sqrt{-1 \cdot 95}$ = $- \sqrt{-1} \cdot \sqrt{95}$
Express as complex number: Express $- \sqrt{-1} \cdot \sqrt{95}$ as a complex number by using $i$ .
- $\sqrt{95}$
= - $\sqrt{-1} \cdot \sqrt{95}$
= - $i \cdot \sqrt{95}$
= - $i \sqrt{95}$

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