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

Question

Mathematics

Keith Williams

27 May, 16:17

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

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Answers (1)

Know the Answer?

Kylan Hall · Answer 1

5√3

Step-by-step 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