Question

How do you solve √125÷√5​

Answer 1

`\bf √(125)/ √(5)\implies \cfrac{√(125)}{√(5)}\qquad \begin{cases} 125=&5\cdot 5\cdot 5\\ &5^2\cdot 5 \end{cases}\implies \cfrac{√(5^2\cdot 5)}{√(5)} \\\\\\ \cfrac{5~~\begin{matrix} √(5) \\[-0.7em]\cline{1-1}\\[-5pt]\end{matrix}~~}{~~\begin{matrix} √(5) \\[-0.7em]\cline{1-1}\\[-5pt]\end{matrix}~~}\implies 5`