Question

Geometric Mean between two positive real numbers a and b is ……….​

Answer 1

Answer:

Hence , the geometric mean is ab 1/2.

Step-by-step explanation:

Let , the geometric mean of a and b be X..

So, a : x = x : b ( cross multiplication)..

=> a/ x = x / b

=> x² = ab

=> x = √ ab

=> x = ab 1/2...

Answer 2

The geometric mean between two positive real numbers a and b is √(a×b).

• Geometric mean is the average form, where two numbers are subtracted and the product's square root is equal to the geometric mean.

• If there are three numbers, then all the three numbers are added and the product's cube root is calculated to find out the geometric mean.

• It can be calculated as -

let the geometric mean between a and b be = x

Thus, a : x = x : b  = a / x = x / b

= x² = ab

x = √ab