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Find the Cube Root of the Following Number. -512 - SSC (English Medium) Class 8 - Mathematics

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Question

Find the cube root of the following number.

-512 

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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APPEARS IN

 Balbharati Solution for Balbharati Class 8 Mathematics (2019 to Current)
Chapter 3: Indices and Cube root
Practice Set 3.3 | Q: 3.4 | Page no. 18
Solution Find the Cube Root of the Following Number. -512 Concept: Cube and Cube Root.
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