Evaluate the expression (\sqrt(-8))/(\sqrt(-9\sqrt(-2))) and write the result in the form a+bi. Real number a equals:0   Real number b equals:

Let's evaluate the expression \(\frac{\sqrt{-8}}{\sqrt{-9\sqrt{-2}}}\) and express the result in the form \(a + bi\), where \(a = 0\) and \(b\) is the imaginary part.

### Step 1: Simplify the square roots of negative numbers.
We know that \(\sqrt{-x} = \sqrt{x} \cdot i\), where \(i\) is the imaginary unit.

So:
\[
\sqrt{-8} = \sqrt{8} \cdot i = 2\sqrt{2} \cdot i


Learn how to evaluate the expression (sqrt(-8))/(sqrt(-9sqrt(-2))) and express the result in the form a + bi. This problem involves complex numbers, square roots of negative numbers, and imaginary units. Suitable for advanced high school students and beyond.

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