Answer:
[tex]\sqrt{\frac{36}{169} } = \frac{6}{13}[/tex]
Step-by-step explanation:
First, transform the fraction inside the square root into the following:
[tex]\frac{\sqrt{36}}{\sqrt{169}}[/tex].
Next, you can take the square root of 36 ([tex]\sqrt{36}[/tex]), which is 6 ([tex]6^{2} = 36[/tex]).
[tex]\frac{\sqrt{36}}{139} = \frac{6}{\sqrt{169}}[/tex]
Then, you can take the square root of 169 ([tex]\sqrt{169}[/tex] ), which is 13 ([tex]13^{2} = 169[/tex])
[tex]\frac{6}{\sqrt{169}} = \frac{6}{13}[/tex]
