The number of rational terms in 54+45100 is

Tr+1=nCr xn−rarTr+1=100Cr. 5100−r4.4r5r=0,20,40,60,80,100No.of rational terms = 6

The number of rational terms in 54+45100 is

Tr+1=nCr xn−rarTr+1=100Cr. 5100−r4.4r5r=0,20,40,60,80,100No.of rational terms = 6

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The number of rational terms in ${(\sqrt[4]{5} + \sqrt[5]{4})}^{100}$ is

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$\begin{array}{l} T_{r + 1} =^{n} C_{r} x^{n - r} a^{r} \\ T_{r + 1} =^{100} C_{r} . 5^{\frac{100 - r}{4}} {.4}^{\frac{r}{5}} \end{array}$

$r = 0, 20, 40, 60, 80, 100$

No.of rational terms = 6

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The number of rational terms in ${(\sqrt[4]{5} + \sqrt[5]{4})}^{100}$ is