Question Number 148997 by gsk2684 last updated on 02/Aug/21
$${find}\:{number}\:{of}\:{rational}\:{terms}\: \\ $$$${in}\:{the}\:{expansion}\:{of}\:\left(\sqrt[{\mathrm{5}}]{\mathrm{3}}+\sqrt[{\mathrm{3}}]{\mathrm{2}}\right)^{\mathrm{15}} . \\ $$$${prove}\:{sum}\:{of}\:{all}\:{irrarional}\:{terms}\: \\ $$$${is}\:{greater}\:{than}\:{sum}\:{of}\:{all}\:{rational} \\ $$$${terms}. \\ $$