Answer:
[tex] \dfrac{\sqrt{10}}{4} [/tex]
Step-by-step explanation:
[tex] \sqrt{\dfrac{5}{8}} = [/tex]
[tex] = \dfrac{\sqrt{5}}{\sqrt{8}} [/tex]
[tex] = \dfrac{\sqrt{5}}{\sqrt{4 \times 2}} [/tex]
[tex] = \dfrac{\sqrt{5}}{2 \sqrt{2}} [/tex]
[tex] = \dfrac{\sqrt{5}\sqrt{2}}{2 \sqrt{2}\sqrt{2}} [/tex]
[tex] = \dfrac{\sqrt{10}}{2 \times 2} [/tex]
[tex] = \dfrac{\sqrt{10}}{4} [/tex]
