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Question
Find the cube root of the following number.
−512
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Solution
To find the cube root of −512, let us factorise 512 first.
512 = 2 × 2 × 2 × 2 × 2 × 2 × 2 × 2 × 2
512 = (2 × 2 × 2) × (2 × 2 × 2) × (2 × 2 × 2)
= (8 × 8 × 8) = 83
-512 = (-8) × (-8) × (-8) = (-8)3
∴ `root(3)(-512) = -8`
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