Question

help how do u solve sqrt(x)+sqrt(2x)=1

Answer 1

3-2sqrt(2)

Answer 2

is it possible to explain or show me how you got this

Answer 3

yes, first square both sides

Answer 4

add them together you get (3+2sqrt(2))x=1

Answer 5

this is tricky, you realize that if you multiply by the complement, you get 9-8 which equals 1

Answer 6

oh ok i understand it now i know ho to do the ones with one sqrt but wasnt sure how to do it with two sqrt's thanks

Answer 7

sometimes it takes just a little flash of insight

Answer 8

wait i just got lost were did you get the 3 from

Answer 9

\[(\sqrt{x}+\sqrt{2x})^{2}\]

Answer 10

that should result in: 3x plusminus (2x)2^1/2. But he omitted squaring the other side getting a 1

Answer 11

and the equating that ugly thing to 1 and solving, so far I haven't seen a solution.

Answer 12

well the solution is
3-2\[\sqrt{2}\]

Answer 13

i mean t 3-2sqrt(2)

Answer 14

but i dont know how he got that i got lost after i looked back again

Answer 15

see, the thing is (3+2sqrt(2))(3-2sqrt(2))=(3)^2-(2sqrt(2))^2

Answer 16

which is 9-8=1

Answer 17

the COMPLEMENT of (3+2sqrt(2)) is (3-2sqrt(2)) b/c that is like squaring both elements.

Answer 18

So your using + root, a - root. Is that a fair statement?

Answer 19

It does check out, in a baffling sort of way.