evaluate ( 25/36)^ 1/2.

Answer:
The correct option is C.
Step-by-step explanation:
The given expression is
[tex](\frac{25}{36})^{\frac{1}{2}[/tex]
It can be written as
[tex]\sqrt{\frac{25}{36}}[/tex] [tex][\because x^{\frac{1}{2}=\sqrt{x}][/tex]
Using the property of radical expression, we get
[tex]\frac{\sqrt{25}}{\sqrt{36}}[/tex] [tex][\because \sqrt{\frac{a}{b}}=\frac{\sqrt{a}}{\sqrt{b}}][/tex]
[tex]\frac{5}{6}[/tex]
The value of given expression is 5/6. Therefore the correct option is C.