Step-by-step explanation:
Write the expression
[tex] \sqrt{ \frac{3}{8} } [/tex]
Let make the denominator a perfect square that is a multiple of 8. 16 is a multiple of 8 and a perfect square so
[tex] \sqrt{ \frac{3}{8} } = \sqrt{ \frac{6}{16} } [/tex]
Know that
[tex] \sqrt{ \frac{x}{y} } = \frac{ \sqrt{x} }{ \sqrt{y} } [/tex]
So
[tex] \sqrt{ \frac{6}{16} } = \frac{ \sqrt{6} }{4} [/tex]