Question

What is the geometric mean of 7 and 11?

A. 3 square root 7
B. 3 square root 11
C. 77
D. Square root 77

Answer 1

D. Square root of 77

Answer 2

The geometric mean is
`√(77)`

Option D is correct.

Explanation:

Given: 7 and 11

We need to find the geometric mean of 7 and 11.

Geometric series whose common ration is equal.

Geometric mean of two number is square root of product of two number.

If a, b and c are in GP then geometric mean is b

`b=√(ac)`

The geometric mean of any two number a and b is
`√(ab)`

The given numbers are 7 and 11

Geometric mean is
`√(7* 11)`

Geometric mean:
`√(77)`

Hence, The geometric mean is
`√(77)`