Question

Evaluate: $\sqrt{1\frac{4}{5}\times 14\frac{21}{44}\times 2\frac{7}{55}}$

Answer 1

$\sqrt{1\frac{4}{5}\times 14\frac{21}{44}\times 2\frac{7}{55}}$

$\sqrt{\frac{9}{5}\times \frac{637}{44}\times \frac{117}{55}}$

$=\sqrt{\frac{9\times 637\times 117}{5\times 44\times 55}}$

$=\sqrt{\frac{9\times 7\times 7\times 13\times 13\times 9}{5\times 11\times 2\times 2\times 11\times 5}}$

$=\frac{9\times 7\times 13}{5\times 11\times 2}=\frac{819}{110}=7\frac{49}{110}$