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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)3 × (2)3 × (2)3 × (2)3 × (2)3
32768 = (2 × 2 × 2 × 2 ×2)3
= (32)3
`32768 = root3((32))^3`
∴ `root(3)(32768) = 32`
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