We have,
\(\sqrt{4{\frac{73}{324}}}=\sqrt{\frac{1369}{324}}\)
= \(\frac{\sqrt{1369}}{\sqrt{324}}\)
Now, using long division method we get:
\(\sqrt{1369}\) = 37
Also,
\(\sqrt{324}=\sqrt{2\times2\times9\times9}\)
= 2 × 9
= 18
Therefore,
\(\sqrt{4{\frac{73}{324}}}=\frac{37}{18}\)
\(=2\frac{1}{18}\)