Question

Find the square root of $\frac{243}{867}$.

Answer 1

We have

$243=3\times 3\times 3\times 3\times 3$

$867=3\times 17\times 17$

Now, $\sqrt{\frac{243}{867}}=\sqrt{\frac{3\times 3\times 3\times 3\times 3}{3\times 17\times 17}}$

$=\sqrt{\frac{3\times 3\times 3\times 3}{17\times 17}}=\frac{3\times 3}{17}=\frac{9}{17}=0.529$