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Simplify the radical expression:

\[ \sqrt{-625x^3} - 3\sqrt{30x^3} \]

Answer :

The expression becomes 5xi√(25x) - 3√2 * ∛(15x³).

To simplify the radical expression √(-625x³) - 3√(30x³), you can break it down step by step.

Simplify the square root:

√(-625x³) = √(-1) * √(625x³) = i√(625x³)

Simplify the cube root:

3√(30x³) = 3√(2*15x³) = 3√2 * ∛(15x³)

Now, you have i√(625x³) - 3√2 * ∛(15x³).

Further simplify:

i√(625x³) = i√(25x³ * 25) = 5xi√(25x)

So, the expression becomes:

5xi√(25x) - 3√2 * ∛(15x³)

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