The ratio of the masses and radii of two planets are `4:6 and 8:18`. What is the ratio of the escape speed at their surface ?

Explanation

To find the ratio of the escape speeds of two planets based on their masses and radii, we can follow these steps:

### Step 1: Understand the formula for escape speed
The escape speed (v) from the surface of a planet is given by the formula:
\[ v = \sqrt{\frac{2GM}{R}} \]
where \( G \) is the gravitational constant, \( M \) is the mass of the planet, and \( R \) is the radius of the planet.
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