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Find the Cube Root of the Following Number. -2744 - SSC (English Medium) Class 8 - Mathematics

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Question

Find the cube root of the following number.

 -2744 

Solution

To find the cube root of −2744, let us factorise 2744 first.

2744 = 2 × 2 × 2 × 7 × 7 × 7 

2744 = (2 × 7) × (2 × 7) × (2 × 7) = (2 × 7)3 = 143

-2744 = (-14)3

∴ `root(3)(-2744) = -14`

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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: 3.5 | Page no. 18
Solution Find the Cube Root of the Following Number. -2744 Concept: Cube and Cube Root.
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