Consider the following expression:
[tex]\sqrt{\frac{50}{36}}[/tex]simplifying the radicand of the square root, we get
[tex]\sqrt{\frac{25}{18}}[/tex]Applying the properties of rational exponents, we get:
[tex]\frac{\sqrt{25}}{\sqrt{18}}\frac{}{}=\frac{5}{\sqrt{3^2\cdot2}}[/tex]this is equivalent to:
[tex]\frac{5}{\sqrt{3^2\cdot2}}=\frac{5}{3\sqrt{2}}[/tex]we can conclude that the correct answer is:
Answer:[tex]\frac{5}{3\sqrt{2}}[/tex]