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2. simplify \\(\\sqrt3{-27}\\). \\(\\bigcirc -3\\) \\(\\bigcirc -9\\) \…

Question

  1. simplify \\(\sqrt3{-27}\\). \\(\bigcirc -3\\) \\(\bigcirc -9\\) \\(\bigcirc 3\\) \\(\bigcirc \frac{1}{3}\\)

Explanation:

Step1: Recall cube root definition

We need a number $x$ such that $x^3 = -27$.

Step2: Test candidate value

Calculate $(-3)^3 = (-3) \times (-3) \times (-3) = 9 \times (-3) = -27$.

Answer:

-3