The ratio of the masses and radii of two planets are 2 : 3 and 4 : 9. What is the ratio of the escape speed at their surface ?

Explanation

To find the ratio of the escape speed at the surfaces of two planets given the ratios of their masses and radii, we can follow these steps:

### Step-by-Step Solution:

1. **Understand the Formula for Escape Speed**:
The escape speed \( v_e \) from the surface of a planet is given by the formula:
\[
v_e = \sqrt{\frac{2GM}{R}}
...