Question

Find the square root of:

\[23\frac{26}{121}\]

Answer 1

We know:

\[\sqrt{23\frac{26}{121}} = \sqrt{\frac{2809}{121}} = \frac{\sqrt{2809}}{\sqrt{121}}\]

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

\[\sqrt{121} = 11\]
\[ \therefore \sqrt{23\frac{26}{121}} = \frac{53}{11}\]