Question

Evaluate: $\sqrt{4\frac{73}{324}}$

Answer 1

$\sqrt{4\frac{73}{324}}=\sqrt{\frac{4\times 324+73}{324}}$
= $\sqrt{\frac{1296+73}{324}}=\sqrt{\frac{1369}{324}}$
= $\sqrt{\frac{37\times 37}{2\times 2\times 3\times 3\times 3\times 3}}=\frac{37}{2\times 3\times 3}=\frac{37}{18}$
= $2\frac{1}{18}$