Question

Find the square root of:

\[21\frac{51}{169}\]

Answer 1

We know:

\[\sqrt{21\frac{51}{169}} = \sqrt{\frac{3600}{169}} = \frac{\sqrt{3600}}{169}\]

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

\[\sqrt{3600} = \sqrt{60 \times 60} = 60\]
\[\sqrt{169} = \sqrt{13 \times 13} = 13\]
\[ \therefore \sqrt{21\frac{51}{169}} = \frac{60}{13} = 4\frac{8}{13}\]