Question

Evaluate and state true or false

$\sqrt{1\frac{4}{5}\times 14\frac{21}{44}\times 2\frac{7}{55}}$ is $7\frac{49}{110}$

• A. True
• B. False

Answer 1

The correct option is A True

$\sqrt{1\frac{4}{5}\times 14\frac{21}{44}\times 2\frac{7}{55}}$
$=\sqrt{\frac{9}{5}\times \frac{637}{44}\times \frac{117}{55}}$
$=\sqrt{\frac{3^2}{5}\times \frac{7^2\times 13}{11\times 4}\times \frac{13\times 9}{11\times 5}}$
$=\sqrt{\frac{3^4\times 7^2\times {13}^2}{5^2\times {11}^2\times 2^2}}$
$=\frac{3^2\times 7\times 13}{5\times 11\times 2}$
$=\frac{819}{110}$
$=7\frac{49}{110}$