Question

When $15\sqrt{15}$ is divided by $3\sqrt{3}$, the quotient is

(a) $5\sqrt{3}$

(b) $3\sqrt{5}$

(c) $5\sqrt{5}$

(d) $3\sqrt{3}$

Answer 1

$$\begin{gathered} 15\sqrt{15}÷3\sqrt{3} \\ =\frac{15\sqrt{5\times 3}}{3\sqrt{3}} \\ =\frac{15\times \sqrt{5}\times \sqrt{3}}{3\sqrt{3}}\left[\sqrt{ab}=\sqrt{a}\times \sqrt{b}\right] \\ =5\sqrt{5} \end{gathered}$$
Hence, the correct answer is option (c).