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ANSWER:

5 / 6

When ( 25 / 36 )^1/2 is evaluated, the answer is 5 / 6.

STEP-BY-STEP EXPLANATION:

= ( 25 / 36 )^1/2

= ( 25^1/2 ) / ( 36^1/2 )

= 5 / 6

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.

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