Question

Find the square root of:

\[\frac{324}{841}\]

Answer 1

We know:

\[\sqrt{\frac{324}{841}} = \frac{\sqrt{324}}{\sqrt{841}}\]

Now, let us compute the square roots of the numerator and the denominator separately. 

\[\sqrt{324} = \sqrt{2 \times 2 \times 3 \times 3 \times 3 \times 3} = 2 \times 3 \times 3 = 18\]
\[\sqrt{841} = \sqrt{29 \times 29} = 29\]
\[ \therefore \sqrt{\frac{324}{841}} = \frac{18}{29}\]