Question

What is the geometric mean of 175 and 7?

Answer 1

Multiply and take squareroot. The Geometric Mean, \(GM\) is defined:
\[GM=\sqrt[n]{x_1x_2\cdots x_n}\]

Answer 2

Geometric mean of a and b is \(\sqrt{ab}\)

Answer 3

Geometric mean of a,b,c is \(\sqrt[3]{abc}\)

Answer 4

etc. etc.

Answer 5

Yup. It's precisely as Parth and I said. I just wrote it using subscripts.

Answer 6

Well, the answer choices are 55, 35, 45, and 40.

Answer 7

Are you allowed a calculator? If so, use it.

Answer 8

No calculator allowed. =\

Answer 9

\( \color{Black}{\Rightarrow \sqrt{175 \times 7} }\)
Find the value :)

Answer 10

Ok, then you have to find the prime factorization of \(175\).

Answer 11

square the answers til you get the underradical ....

Answer 12

Amistre's method also works.

Answer 13

Yeah, first multiplying them and then finding the square root wouldn't make it easier.

Answer 14

a sqrt by hand is about as hard is long division; but if given answers to compare to; its easier to square the answers :)

Answer 15

In most cases, yes. I think this is not as hard, though.

Answer 16

Okay, answer is 35, thankyou.

Answer 17

\( \color{Black}{\Rightarrow \sqrt{175 \times 7} = \sqrt{5 \times 7 \times 5 \times 7 } }\)

Answer 18

Yes, it is 35.

Answer 19

\(175\) has a relatively simple factorization. (I'm referring to algorithmic complexity.)

Answer 20

we knew you could do it ;)

Answer 21

:D

Answer 22

lol

Answer 23

The ones ending with 5 are easy because you can start by dividing 5 :)

Answer 24

Okay, okay, i suck at math, pardon me.

Answer 25

No you don't, because you got the answer :)

Answer 26

Oh, no. You don't suck at math.

Answer 27

Most of the people aren't able to get the answer, but you are, and easily :D

Answer 28

this site is here to help you get better at math; and not just hand out free answers ... so you did remarkable well for sucking

Answer 29

Our second best member says so ^ you must feel proud :D

Answer 30

LOL, Amistre. Nicely put.

Answer 31

I can write a flawless MLA format paper on phisics and astronomy or anything else you'd want. Give me 10th grade math and my brain turns into mush.

Answer 32

Everyone has a weak area. Just because it's a weak area doesn't mean they suck, though. A lot of mathematicians consider themselves weak in composition and grammar. But you don't see them thinking they suck--nor using composition or grammar which sucks. :P

You just have to be more confident in yourself and keep trying your best. You are doing fine as far as I can tell.

Answer 33

I suck at calculus :P

Answer 34

Well, i am in novanet for math, so aperantly it is not my forte.

Answer 35

Randi, feel free to ask any questions on OS. There is a diversity of expertise here. I wish you luck in your maths.

Answer 36

Yes, sense'.