Maharashtra State BoardSSC (English Medium) 8th Standard

Find the Cube Root of the Following Number. 32768 - Mathematics

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Sum

Find the cube root of the following number.

32768 

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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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Chapter 3: Indices and Cube root - Practice Set 3.3 [Page 18]

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Balbharati Mathematics 8th Standard Maharashtra State Board
Chapter 3 Indices and Cube root
Practice Set 3.3 | Q 3.6 | Page 18
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