Answer
$\sqrt{\dfrac{13a}{2b}}=\dfrac{\sqrt{26ab}}{2b}$
Work Step by Step
$\sqrt{\dfrac{13a}{2b}}$
Rewrite the expression as $\dfrac{\sqrt{13a}}{\sqrt{2b}}$:
$\sqrt{\dfrac{13a}{2b}}=\dfrac{\sqrt{13a}}{\sqrt{2b}}=...$
Multiply the fraction by $\dfrac{\sqrt{2b}}{\sqrt{2b}}$ and simplify:
$...=\dfrac{\sqrt{13a}}{\sqrt{2b}}\cdot\dfrac{\sqrt{2b}}{\sqrt{2b}}=\dfrac{\sqrt{26ab}}{\sqrt{(2b)^{2}}}=\dfrac{\sqrt{26ab}}{2b}$
