Question

Упростить выражение:(X√X+X+√X)/(X^(2 )-√X)

Answer 1

(x√x+x+√x)/(x²-√x)=(x³/²+x+x¹/²)/(x²-x¹/²)=x¹/²(x+x¹/²+1)/(x¹/²(x³/²-1))=
=(x+x¹/²+1)/((x¹/²)³-1³)=(x+x¹/²+1)/((x¹/²-1)(x+x¹/²+1)=1/(√x-1).