Question

Find the geometric mean of 48 and 3.

Answer 1

the geometric mean of two numbers, \(a\) and \(b\) is\[GM=\sqrt{a\times b}\]

Answer 2

\[\frac{48}{x}=\frac{x}{3}\]

Answer 3

Let the geometric sequence be :
48, x, 3 (As we are to find mean, so x will lie between 48 and 3

So, how to find common ratio in Geometric progression:
r = Second term/First term = Third term/Second term

So, x/48 = 3/x

\[x^2 = 48 \times 3\]

Multiply it and take the square root you will have your answer...