Question

Can u help me in this one please guys

Answer 1

Given:

The number 12 is the geometric mean between 3 and a number x.

We need to determine the value of x.

Value of x:

Since, we know that the geometric mean is the square root of the product of two numbers.

Hence, we have;

$Geometric \ mean= \sqrt{a \times b}$

where a and b are two positive numbers.

Substituting Geometric mean = 12, a = 3 and b = x, we get;

$12= \sqrt{3 \times x}$

Squaring on both sides, we get;

$12^2=3 \times x$

$144=3\times x$

Dividing both sides of the equation by 3, we have;

$48=x$

Thus, the value of x is 48.