5

Question

12
Use the geometric mean to solve for the value of x.

(1 point)
Responses

2.65
2.65

7.75
7.75

17
17

60

Answer 1

To find the value of \( x \) using the geometric mean of the numbers 5 and 12, we use the formula for the geometric mean:

\[ x = \sqrt{a \cdot b} \]

where \( a = 5 \) and \( b = 12 \).

Calculating this:

\[ x = \sqrt{5 \cdot 12} = \sqrt{60} \]

Now calculate \( \sqrt{60} \):

\[ \sqrt{60} \approx 7.75 \]

So the correct response for the value of \( x \) using the geometric mean is:

7.75