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The value of `(log)_(sqrt(4+2sqrt(2))sqrt(4-2sqrt(2)))2^9` is...........

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The value of `(log)_(sqrt(4+2sqrt(2))sqrt(4-2sqrt(2)))2^9` is...........
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`X=(sqrt(4+2sqrt2))(sqrt(4-2sqrt2))`
`X=sqrt((4+2sqrt2)(4-2sqrt2))`
`X=sqrt(4^2-(2sqrt2)^2`
`X=sqrt(16-8`
`X=2^(3/2)`
`=(9*2)/3`
`=6`.
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