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The sum of rational term in (sqrt(2)+roo...

The sum of rational term in `(sqrt(2)+root3 3 + root6 5)^(10)` is equal to `12632` b. `1260` c. `126` d. none of these

A

12632

B

1260

C

126

D

11792

Text Solution

Verified by Experts

The correct Answer is:
D
General term in the expansion of `(sqrt(2)+3sqrt(3)+6sqrt(5))^(10)` is
`(10!)/(a!b!c!) (sqrt(2))^(a)(3sqrt(3))^(6)(6sqrt(5))^(c )` where `a + b+ c= 10`.
For rational term, we have the following
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