Question

express the number in terms of (i).

(sqrt{-3})

(sqrt{-3} = \square) (simplify your answer.)

Explanation:

Identify the given expression

We are given the square root of a negative number:

$$\sqrt{-3}$$

Apply the product rule for radicals

Using the Product Rule for Radicals knowledge point

$$\sqrt{-3} = \sqrt{3 \cdot (-1)} = \sqrt{3} \cdot \sqrt{-1}$$

Substitute the imaginary unit

Using the Imaginary Numbers knowledge point

$$
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$$

Answer:

Express the number in terms of \(i\).

\(\sqrt{-3} =\) <blank>\(i\sqrt{3}\)</blank> (Simplify your answer.)