Question

What’s the geometric mean of 3 square roots of 5 and 5 square roots of 5

Answer 1

5√3

Explanation:

The geometric mean (GM) of two numbers x and y is the square root of their product.

Thus, the GM of x and y is √(xy).

The GM of 3√5 and 5√5

= √(3√5 × 5√5)

= √[3 × 5 × (√5)²]

= √(3 × 5 × 5)

= √(3 × 5²)

= 5√3