Question

Rationalize the denominator and simplify 15sqaure root 6 over 3sqaure root 5

Answer 1

`\bf \cfrac{15√(6)}{3√(5)}\implies \cfrac{15√(6)}{3√(5)}\cdot \cfrac{√(5)}{√(5)}\implies \cfrac{15√(6)\cdot √(5)}{3(√(5))^2}\implies \cfrac{15√(6\cdot 5)}{3(5)} \\\\\\ \cfrac{~~\begin{matrix} 15 \\[-0.7em]\cline{1-1}\\[-5pt]\end{matrix}~~√(30)}{~~\begin{matrix} 15 \\[-0.7em]\cline{1-1}\\[-5pt]\end{matrix}~~}\implies √(30)`