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Find the cube root of the following number.

8000

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#### Solution

To find the cube root of 8000, let us factorise 8000 first.

8000 = 2 × 2 × 2 × 2 × 2 × 2 × 5 × 5 × 5

8000 = 4 × 4 × 4 × 5 × 5× 5 = 4^{3} × 5^{3} = (4 × 5)^{3} [a^{m} × b^{m} = (a × b)^{m}]

8000 = (20)^{3}

∴ `root(3)(8000) = 20`

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