Which expression is equivalent to √36/25?
A) 6/25
B) 5/6
C) 6/5
D) 36/25
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Answer:
C) [tex]\frac{6}{5}[/tex].
Step-by-step explanation:
Given : [tex]\sqrt{\frac{36}{25} }[/tex].
To find : Which expression is equivalent.
Solution : We have given [tex]\sqrt{\frac{36}{25} }[/tex].
By the radical rule [tex]\sqrt{\frac{a}{b} }[/tex] = [tex]\frac{\sqrt{a} }{\sqrt{b}}[/tex].
Then [tex]\sqrt{\frac{36}{25} }[/tex] = [tex]\frac{\sqrt{36}}{\sqrt{25}}[/tex].
[tex]\sqrt{\frac{36}{25} }[/tex] = [tex]\frac{6}{5}[/tex].
Therefore, C) [tex]\frac{6}{5}[/tex].