Question

(√x)3/5×(√x)2/5+2√x / 2(√x)2/3×(√x)1/3+√x =???

Answer 1

$\frac{ { \sqrt{x} }^{ \frac{3}{5} } \times { \sqrt{x} }^{ \frac{2}{5} } + 2 \sqrt{x} }{2 { \sqrt{x} }^{ \frac{2}{3} } \times { \sqrt{x} }^{ \frac{1}{3} } + \sqrt{x} } \\ = \frac{ { \sqrt{x} }^{ \frac{3 + 2}{5} } + 2 \sqrt{x} }{2 { \sqrt{x} }^{ \frac{2 + 1}{3} } + \sqrt{x} } \\ = \frac{ \sqrt{x} + 2 \sqrt{x} }{2 \sqrt{x} + \sqrt{x} } \\ = \frac{3 \sqrt{x} }{3 \sqrt{x} } \\ = 1$