Question

Write the radical in simplest radical form √5/8

Answer 1

Answer:

$\dfrac{\sqrt{10}}{4}$

Step-by-step explanation:

$\sqrt{\dfrac{5}{8}} =$

$= \dfrac{\sqrt{5}}{\sqrt{8}}$

$= \dfrac{\sqrt{5}}{\sqrt{4 \times 2}}$

$= \dfrac{\sqrt{5}}{2 \sqrt{2}}$

$= \dfrac{\sqrt{5}\sqrt{2}}{2 \sqrt{2}\sqrt{2}}$

$= \dfrac{\sqrt{10}}{2 \times 2}$

$= \dfrac{\sqrt{10}}{4}$