Question

Find the square root of:

\[23\frac{394}{729}\]

Answer 1

We know:

\[\sqrt{23\frac{394}{729}} = \sqrt{\frac{17161}{729}} = \frac{\sqrt{17161}}{\sqrt{729}}\]

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

\[\sqrt{729} = 27\]
\[ \therefore \sqrt{23\frac{394}{729}} = \frac{131}{27} = 4\frac{23}{27}\]