Question

4) Find the geometric mean of 5x®y and 45xy3​

Answer 1

Answer:

Geometric Mean is a special type of average where we multiply the numbers together and then take a square root (for two numbers), cube root (for three numbers) etc.

Example: What is the Geometric Mean of 2 and 18?

First we multiply them: 2 × 18 = 36

Then (as there are two numbers) take the square root: √36 = 6

In one line:

Geometric Mean of 2 and 18 = √(2 × 18) = 6

It is like the area is the same!

geometric mean 2x18 = 6x6

Answer 2

Answer:

$\sqrt{5 {x}^{3}y \times 45x {y}^{3} } \\ = 15 {x}^{2} {y}^{2}$