Question

Explain how you would find the exact value of the square root of 2 over the square root of 8.

Answer 1

\[\sqrt2/\sqrt8 = \sqrt{2/8} \]by the quotient rule.

Answer 2

I know but im thinking it is 1 over 4 cause if you put 2/8 into simplest for you will get 1/4

Answer 3

Close, but it still needs to be square rooted (that sounds weird). Luckily, 1/4th can be square rooted easily.

Answer 4

@ julucero so you multiply bot by 2 right

Answer 5

Why would you multiply the bottom by 2?

Answer 6

which is 1/2 @amishjeb

Answer 7

Bingo. :)

Answer 8

lol :D

Answer 9

So.....2 sqrt over sqrt 8 equals 1/2 because you multiply 1/4 by 2 to simplify it?!?!?

Answer 10

Also\[\frac{ \sqrt{2} }{ \sqrt{8} } = \frac{ \sqrt{2} }{ 2\sqrt{2} } = \frac{ 1 }{ 2 } \times \frac{ \sqrt{2} }{ \sqrt{2} } = \frac{ 1 }{ 2 }\]

Answer 11

ohh I was close

Answer 12

It happens to get you the right answer in this case, but its not right. You need to square 1/4th.\[\sqrt{1} = 1 and \sqrt{4} = 2\]

Answer 13

ohhh okay I get it if we use 1/4 it would of been wrong I think

Answer 14

well you can do this another way
technically square root means

2 _____
/ x ^2 = x^2

Answer 15

Well. Sort of. Maybe? I'm having a hard time understanding what you're asking.
But taking the square root isn't the same as multiplying by 2.

Answer 16

yea I know well thanks anyways for the help

Answer 17

but you still wind up getting the same answer :/

Answer 18

i said the same thing but it is whatever @mth3v4

Answer 19

after all that typing i dont think i kept track lol

Answer 20

lol :D