Chapter 10 - Radical Expressions and Equations - 10-3 Operations With Radical Expressions - Practice and Problem-Solving Exercises - Page 630: 56

ans: $\frac{r1}{r2} = \frac{ \sqrt5 }{\sqrt 2}$

$\frac{r1}{r2} = \frac{\sqrt m2}{\sqrt m1}$ m1 = 12, m2 = 30 units Therefore, $\frac{r1}{r2} = \frac{\sqrt 30}{\sqrt 12}$ $\implies \frac{r1}{r2} = \frac{\sqrt 2 \times \sqrt5 \sqrt 3}{\sqrt 2 \times \sqrt 2 \times \sqrt3}$ $\implies \frac{r1}{r2} = \frac{ \sqrt5 }{\sqrt 2}$