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Use the imaginary number $i$ to rewrite the expression below as a complex number. Simplify all radicals. $-\sqrt{-35}$

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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. Simplify all radicals.

-\sqrt{-35}

Break down expression: First, let's break down $-\sqrt{-35}$ into $-\sqrt{-1 \times 35}$ .
Use imaginary unit: Now, we know that $\sqrt{-1}$ is the imaginary unit $i$ , so we can write $-\sqrt{-35}$ as $-i \times \sqrt{35}$ .
Simplify square root: Simplify the square root of $35$ . Since $35$ is not a perfect square, we leave it as $\sqrt{35}$ . So, the expression is $-i \times \sqrt{35}$ .

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