Suppose that a, b, and c are real numbers such that $\frac{a}{b} = \frac{\sqrt{10}}{\sqrt{21}}$ and $\frac{b}{c} = \frac{\sqrt{35}}{\sqrt{6}}$. Find $\frac{a}{c}$. Completely simplify and rationalize the denominator. read more ..
\({\sqrt{10} \over \sqrt{21}} * {\sqrt{35} \over \sqrt{6}} = {{√2 * √5 * √5 * √7} \over √3 * √7 * √2 * √3} = {5 \over 3}\)