Question

Solve:-
$\sqrt{x}+2.x^{2/3}+3.x^{5/6}$

Answer 1

$\sqrt{x}+{2x}^{\frac{2}{3}}+3x^{\frac{5}{6}}=x^{\frac{1}{2}}+{2x}^{\frac{2}{3}}+{3x}^{\frac{5}{6}}=x^{\frac{1}{2}}+x^{\frac{5}{6}}+2x^{\frac{5}{6}}+{2x}^{\frac{2}{3}}=x^{\frac{1}{2}}(1+x^{\frac{1}{3}})+2x^{\frac{2}{3}}(1+x^{\frac{1}{6}})=\sqrt{x}(1+\sqrt[3]{3x})+2\sqrt[3]{3x^2}(1+\sqrt[6]{6x})$