Write the radical as a pure imaginary number $$ \sqrt{-32} $$

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UpStudy AI · Accepted Answer

Calculate or simplify the expression $$ \sqrt{-32} $$.
Calculate the value by following steps:
- step0: Calculate:
  $$\sqrt{-32}$$
- step1: Evaluate the power:
  $$\sqrt{32}	imes \sqrt{-1}$$
- step2: Evaluate the power:
  $$\sqrt{32}	imes i$$
- step3: Evaluate the power:
  $$4\sqrt{2}	imes i$$
The radical $$\sqrt{-32}$$ can be written as a pure imaginary number as $$4\sqrt{2}i$$.
$$\sqrt{-32} = 4\sqrt{2}i$$

Write the radical as a pure imaginary number

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