Question

explain how you would fine the exact value of 3/sqrt8

Answer 1

set = x and complete the square

Answer 2

i tried it and got 3*sqrt2/4

Answer 3

3/sqrt(8) = x
x^2 = 9/8
x^2 -9/8=0
(x + sqrt(9/8))(x-sqrt(9/8))
=0

Answer 4

Well, what you have given is already an exact value. Are you asking for some sort of simplification? See if you can follow this?

\[\frac{ 3 }{ \sqrt{8} } = \frac{ 3 }{ \sqrt{2^3} } = \frac{ 3 }{ 2\sqrt{2} } = \frac{ 3\sqrt{2} }{ 4 }\]

Answer 5

yea thats what i got @queelius

Answer 6

Or, you could replace 3 with the square root of 9:
\[\frac{ \sqrt{9} }{ \sqrt{8} } = \sqrt{9/8}\]But as mentioned above, your original expression was already exact.

Answer 7

idk wat the correct answer is

Answer 8

Could you repeat the exact question you're trying to answer?

Answer 9

\[3/\sqrt8\] explain how to find the exact value

Answer 10

That is a confusing question. It would make more sense if they asked for an approximate value. :)

I think what I posted, which is what you had previously arrived at, is the expected answer.

Answer 11

I think you are asking how do you find the decimal representation of 3/sqrt(8)

Answer 12

that is what i thought because its a short response

Answer 13

no @ybarrap it actuallu has a square root form

Answer 14

actually*

Answer 15

then \[(9/8)^{1/2}\]

Answer 16

thank you everybody