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Question
Write in descending order:
`2 root(4)(6) and 3 root(4)(2)`
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Solution
`2 root(4)(6) = root(4)( 2^4 xx 6 ) = root(4)(96)`
`3 root(4)(2) = root(4)( 3^4 ) = root(4)(162)`
Since 162 > 96
⇒ `root(4)(162) > root(4)(96)`
⇒ `3 root(4)(2) > 2 root(4)(6)`
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