Math miscellaneousHard

Question

The number of integral terms in the expansion of (√3 + 8√5)256 is

Options

A.32
B.33
C.34
D.35

Solution

General term = 256Cr (√3)256-r [(5)1/8]r
From integral terms, or should be 8k
⇒ k = 0 to 32.
Hence, (B) is the correct answer.

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