Question

What is the geometric mean of:

3 x
- = -
x 32

Answer 1

I'm afraid I don't get the question

Answer 2

It says "solve for", but the section is referring to the geometric mean.

Answer 3

x is the geometric mean of 3 and 32 according to your setup.

Answer 4

so we are suppose to solve for
ok great
cross multiply

Answer 5

\[3(32)=x^2\]

Answer 6

but 64 isnt the correct answer, the choices are " 96
48



96
48

Answer 7

now take the square root of both sides

Answer 8

\[x^2=96\]

Answer 9

\[x=\sqrt{96}\]

Answer 10

the choices are

A) 96
B) 48
C) 6 Square root 4
D) 4 Square root 6


so the answer would be 96?

Answer 11

there are perfect squares in 96

Answer 12

No. 96 = 16x6 so 4sqrt6

Answer 13

Ohhhhh. Tysm! I get it more since you explained it.The book sucks at explaining it.

Answer 14

\[\sqrt{96}=\sqrt{16 \cdot 6}=\sqrt{16} \sqrt{6}\]