Simplify by using the imaginary unit $$ i $$ $$ \sqrt{-8} \cdot \sqrt{-2} $$ $$ \sqrt{-8} \cdot \sqrt{-2}=\square $$ (Simplify your answer. Express complex numbers in terms of $$ i $$.)

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Calculate or simplify the expression $$ \sqrt{-8} \cdot \sqrt{-2} $$.
Calculate the value by following steps:
- step0: Calculate:
  $$\sqrt{-8}	imes \sqrt{-2}$$
- step1: Simplify the root:
  $$2\sqrt{2}	imes i\sqrt{-2}$$
- step2: Simplify the root:
  $$2\sqrt{2}	imes i\sqrt{2}	imes i$$
- step3: Multiply:
  $$2\sqrt{2}	imes \sqrt{2}	imes i^{2}$$
- step4: Multiply:
  $$4i^{2}$$
- step5: Use $$i^2=-1$$ to transform the expression$$:$$
  $$4\left(-1ight)$$
- step6: Calculate:
  $$-4$$
The simplified form of $$ \sqrt{-8} \cdot \sqrt{-2} $$ is $$ -4 $$.
$$ \sqrt{-8} \cdot \sqrt{-2} = -4 $$

Simplify by using the imaginary unit

(Simplify your answer. Express complex numbers in terms of .)

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Simplify by using the imaginary unit (Simplify your answer. Express complex numbers in terms of .)