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Question
If m is the cube root of n, then n is ______.
Options
m3
`sqrt(m)`
`m/3`
`root(3)(m)`
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Solution
If m is the cube root of n, then n is m3.
Explanation:
Given, m is the cube root of n, i.e. `m = root(3)(n)`
⇒ `m = (n)^(1/3)`
⇒ `m^3 = (n)^(3/3)` ...[Taking cube on both sides]
∴ m3 = n
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