The rational term(s) in the expansion of (√2+(3)15)10 is/are
A
3
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B
9
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C
6
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D
32
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Solution
The correct option is D32 Tr+1=10Cr(2)(10−r2)(3)r5
This is rational, if r5 and (5−r2) are integers,
Now, r must be a multiple of 10
(LCM of 2 and 5). ∴r=0,10
So the rational terms are 10C0⋅25 and 10C10⋅32
or 32 and 9