2√52x^9/√13x
without brackets your meaning is not clear
This is your question
2√52x^9/√13x = 2(√52)x^9/(√13)x = 2(sqrt52)x^9*x/(sqrt13)
But I suspect that you actually mean
\(\frac{2*\sqrt{52}\;x^9}{\sqrt{13}\;x}\\ =\frac{2*2\;x^9}{x^1}\\ =4x^8 \)