Question

сократите дробь

x-18/√x+3√2

Answer 1

$frac{x-18}{sqrt x+3sqrt2}=frac{(sqrt x)^2-(3sqrt2)^2}{sqrt x+3sqrt2}=frac{(sqrt x-3sqrt2)(sqrt x+3sqrt2)}{sqrt x+3sqrt2}=sqrt x-3sqrt2.\\18=9*2=3^2*sqrt2^2.$