# Find the Cube Root of the Following Number. -2744 - Mathematics

Sum

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 Mathematics 8th Standard Maharashtra State Board
Chapter 3 Indices and Cube root
Practice Set 3.3 | Q 3.5 | Page 18