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Question
Write in ascending order : `2 root(3)(5) and 3 root(3)(2)`
Solution
`2 root(3)(5) = root(3)(2^3 xx 5) = root(3)(40)`
`3 root(3)(2) = root(3)(3^3 xx 2) = root(3)(54)`
and 40 < 54 ⇒ `root(3)(40) < root(3)(54)`
⇒ `2 root(3)(5) < 3 root(3)(2)`
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