Question

Total number of rational terms in the expansion of ${(\sqrt[4]{43}+\sqrt[3]{34})}^{136}$ is

• A. $10$
• B. $11$
• C. $12$
• D. $21$

Answer 1

The correct option is C $12$

The number of rational terms is equal to
$\frac{136}{L.C.M(4,3)}+1$
$=\frac{136}{12}+1$
$=11.33+1$ but we consider the integral value of $\frac{136}{12}.$
$=11+1$
Hence, there are $12$ rational terms.