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`2root(3)(32)-3root(3)(4)+root(3)(500)=?`

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`2root(3)(32)-3root(3)(4)+root(3)(500)=?`
A. `4root(3)(6)`
B. `3sqrt(24)`
C. `6root(3)(4)`
D. `916`
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Correct Answer - C
`2root(3)(32)-3root(3)(4)+root(3)(500)`
`=2root(3)(2^(3)xx4)-3root(3)(4)+root(3)(5^(3)xx4)`
`=2xx2root(3)(4)-3root(3)(4)+5root(3)(4)`
`=9root(3)(4)-3root(3)(4)=6root(3)(4)`
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