Question

Find the square root of $\frac{144}{100}$.

Answer 1

We can factorise $\frac{144}{100}$ as follows:

$\therefore \frac{144}{100}=\frac{2\times 2\times 3\times 2\times 2\times 3}{2\times 5\times 2\times 5}$

$\therefore \sqrt{\frac{144}{100}}=\sqrt{\frac{2\times 2\times 3\times 2\times 2\times 3}{2\times 5\times 2\times 5}}=\frac{2\times 2\times 3}{2\times 5}=\frac{12}{10}$