Question

The number of integral terms in the expansion of ${(3^{\frac{1}{8}}+5^{\frac{1}{4}})}^{1024}$ is

• A. $512$
• B. $256$
• C. $128$
• D. $129$

Answer 1

Answer: (D)

$129$

Total number of integral term will be
$\frac{1024}{L.C.M(4,8)}+1$
$=\frac{1024}{8}+1$
$=128+1$
$=129$.
Hence there are total $129$ integral terms.