Question

Find the geometric mean of the pair of numbers ..
A) 4√2 B) 32 C) 2√10

Answer 1

Pair? You have 3 numbers.

Answer 2

Yeah I know but I already know the other one is wrong... The other one is 6

Answer 3

I don't know what pair but just sqrt of product

Answer 4

The geometric mean of 2 numbers a and b is sqrt(ab)

Answer 5

4*8= 32?

Answer 6

so two numbers are 4 and 8 ??

Answer 7

Where are you getting 4 and 8? There is no reference to either in the question. In fact, I'm not sure you are stating the full question.

Answer 8

Oh , I didnt realize I didnt put them.. sorry

Answer 9

Its a part of the question

Answer 10

The geometric mean of 4 and 8 is A.

Answer 11

geometric mean is the square root of the product,
hence \(\sqrt32=\sqrt{2*4^2}=4\sqrt2\)

Answer 12

Okay so how would I find the geoemtricmean of the pair of numbers 3 and 4?

Answer 13

sqrt(3 x 4)

Answer 14

square root of product again.
\(\sqrt{3*4}=\sqrt{3*2^2}=?\)

Answer 15

3*4=12

Answer 16

yes, and then take the square root of that.

Answer 17

how do you find the square root.. im confused on that part

Answer 18

Just put the sqrt sign around the product. As for simplifying, sqrt(12) = sqrt(2 x 2 x 3) = 2 x sqrt(3)

Answer 19

That's all there is to it for this type of question on the geometric mean.

Answer 20

Im not understanding.. the sqrt is 12.. so 3*12=36 ... 4*12=48 .. would that mean its 2√3

Answer 21

It looks like you are looking for r. You are looking for the number by which you put an exponent to get to the next term, right?

Answer 22

I honestly dont know what I'm doing because all the problem says is
Find the geometric mean of the pair of numbers - 3 and 4..
A) 2√3 B) √15 C) 12

Answer 23

Well, the answer is sqrt(12), so maybe the answer key selection has a misprint. C is most likely the choice sqrt(12).

Answer 24

Actually, its A, Right in front of me!.

Answer 25

Because, sqrt(12) is 2 x sqrt(3) as discussed above. So, you DO have your answer!

Answer 26

A?

Answer 27

sqrt(12) = sqrt(2 x 2 x 3) = 2 sqrt(3). A.

Answer 28

There are 2 twos inside the square root sign, so you can pull them OUT.

Answer 29

Because sqrt(2 x 2 x 3) = sqrt(2 x 2) x sqrt(3) = sqrt(2^2) x sqrt(3) = 2 x sqrt(3). That is ALL of the steps. Do you follow now?

Answer 30

I do.. thanks.

Answer 31

Good luck to you on all of your studies.