#algebra
29 messages · Page 1 of 1 (latest)
- Wait patiently for a helper to come along.
- Once someone helps you, say thank you and close the thread with:
+close
- Feel free to nominate the person for helper of the week in #helper-nominations
- Do not ping the mods, unless someone is breaking the rules.
- If you're happy with the help you got here, and the server overall, you can contribute financially as well:
@oblique pagoda do you want to rationalise it?
Yea
@oblique pagoda show me the full question
@oblique pagoda what's the conjugate of the bottom
Idk
How
bro just equate them and see
What
$\frac{a\sqrt{6}+b\sqrt{3}+c\sqrt{2}+d}{(a\sqrt{6}+b\sqrt{3}+c\sqrt{2}+d) \cdot (\sqrt{6}-\sqrt{3}+\sqrt{2}+1)} \$ The idea is to multiply this : $\ (a\sqrt{6}+b\sqrt{3}+c\sqrt{2}+d) \cdot (\sqrt{6}-\sqrt{3}+\sqrt{2}+1)= \ \sqrt{6}(a\sqrt{6}+b\sqrt{3}+c\sqrt{2}+d) \ -\sqrt{3}(a\sqrt{6}+b\sqrt{3}+c\sqrt{2}+d) \ +\sqrt{2}(a\sqrt{6}+b\sqrt{3}+c\sqrt{2}+d) \ +a\sqrt{6}+b\sqrt{3}+c\sqrt{2}+d= \ 6a+3b\sqrt{2}+2c\sqrt{3}+d\sqrt{6} \ -3a\sqrt{2}-3b-c\sqrt{6}-d\sqrt{3} \ +2a\sqrt{3}+b\sqrt{6}+2c+d\sqrt{2} \ +a\sqrt{6}+b\sqrt{3}+c\sqrt{2}+d= \ \sqrt{6}(d-c+b+a)+\sqrt{3}(2c-d+2a+b)+\sqrt{2}(3b-3a+d+c)+6a-3b+2c+d$
Ludwig
But ir show variant:A
skip the question @oblique pagoda
The next step is to solve this : $\ d-c+b+a=0 \ 2c-d+2a+b=0 \ 3b-3a+d+c=0$
Ludwig
How can i solve it
is this a test 👀
Unfortunaly yes
ii tried to solve it,but i couldnt
