Question Number 188722 by Rupesh123 last updated on 06/Mar/23
Commented by Rupesh123 last updated on 06/Mar/23
Find the number of rational terms in the binomial expansion of
Answered by BaliramKumar last updated on 06/Mar/23
$$\overset{\mathrm{100}} {\:}\mathrm{C}\underset{\mathrm{88}} {\:}\:\:\left(\sqrt[{\mathrm{6}}]{\mathrm{2}\:}\right)^{\mathrm{12}} \left(\sqrt[{\mathrm{8}}]{\mathrm{5}\:}\right)^{\mathrm{88}} \:=\:\left(\mathrm{12},\:\mathrm{88}\right) \\ $$$$\left(\mathrm{36},\:\mathrm{64}\right) \\ $$$$\left(\mathrm{60},\:\mathrm{40}\right) \\ $$$$\left(\mathrm{84},\:\mathrm{16}\right) \\ $$$$\mathrm{4}\:\: \\ $$