SSC (English Medium) Class 8Maharashtra State Board
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# Find the Cube Root of the Following Number. 32768 - SSC (English Medium) Class 8 - Mathematics

#### Question

Find the cube root of the following number.

32768

#### Solution

To find the cube root of 32768, let us factorise 32768 first.

32768 = 2 × 2 × 2 × 2 ×2 × 2 × 2 × 2 × 2 × 2 × 2 × 2 × 2 × 2 × 2

32768 = (2 × 2 × 2 × 2 × 2) ×(2 × 2 × 2 × 2 × 2) ×(2× 2 × 2 × 2 × 2) = 32 ×32 ×32 = (32)3

∴ root(3)(32768) = 32

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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: 3.6 | Page no. 18
Solution Find the Cube Root of the Following Number. 32768 Concept: Cube and Cube Root.
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