IXL - Introduction to complex numbers (Algebra 2 practice)

Use the imaginary number 𝑖 to rewrite the expression below as a complex number. Simplify all radicals.

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question

Use the imaginary number 𝑖 to rewrite the expression below as a complex number. Simplify all radicals.

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key idea

The imaginary number 𝑖 satisfies:

𝑖

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For any positive real number

the principal square root of the negative number

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is:

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𝑖

solution

First, factor out

𝑖

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from

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Then, factor out perfect squares to further simplify the square root.

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Definition of the principal square root of a negative number

𝑖

Definition of the principal square root of a negative number

Recognize the radicand as a perfect square

𝑖

Recognize the radicand as a perfect square

Simplify

3𝑖

Simplify

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EE.1Simplify radical expressions

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