Math
posted by Kelly on .
Hi ya!
So I got a question like when I'm rationalzing a denomenator in order to get simple radical form I really don't know what to do
for example this problem
(6^(2^1)3^(2^1))^1
ok so I know your trying to get it so it's a perfect sqaure right so I can legally write this
(6^(2^1)3^(2^1))^1 A = (6  3)^1 = 3^1
or a simplified formula
(6^(2^1)3^(2^1))^1 A = 3^1
and solve for A were A equals the value needed to get the perfect square 63 or simply 3 right so I solved
A=3^1(6^(2^1)3^(2^1))
and I get some value which is equal to
(6^(2^1)+3^(2^1))^1
but where s the proof that this is correct using that formula all you get is some number and I have no idea how you get this answer I know you just make the negetive positive but what allows you to do that?????

You still haven't read about conjugates. You are NOT trying to get a perfect square, you are trying to get a difference of perfect squares.
http://www.regentsprep.org/Regents/math/algtrig/ATO3/rdlesson.htm