Question

Find the square root of:

\[25\frac{544}{729}\]

Answer 1

We know:

\[\sqrt{25\frac{544}{729}} = \sqrt{\frac{18769}{729}} = \frac{\sqrt{18769}}{\sqrt{729}}\]

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

\[\sqrt{729} = 27\]
\[ \therefore \sqrt{25\frac{544}{729}} = \frac{137}{27}\]