Answer:
[tex]\large\boxed{\dfrac{2\sqrt{31}}{2\sqrt{17}}=\dfrac{\sqrt{527}}{17}}[/tex]
Step-by-step explanation:
[tex]\dfrac{2\sqrt{31}}{2\sqrt{17}}=\dfrac{2\!\!\!\!\diagup^1\sqrt{31}}{2\!\!\!\!\diagup_1\sqrt{17}}=\dfrac{\sqrt{31}}{\sqrt{17}}\cdot\dfrac{\sqrt{17}}{\sqrt{17}}=\dfrac{\sqrt{31\cdot17}}{17}=\dfrac{\sqrt{527}}{17}\\\\\text{Used}\\\\\sqrt{ab}=\sqrt{a}\cdot\sqrt{b}\\\\\sqrt{a}\cdot\sqrt{a}=a[/tex]
