Asked by Kelly
                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 6-3 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?????
            
        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 6-3 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?????
Answers
                    Answered by
            bobpursley
            
    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
    
http://www.regentsprep.org/Regents/math/algtrig/ATO3/rdlesson.htm
                                                    There are no AI answers yet. The ability to request AI answers is coming soon!
                                            
                Submit Your Answer
We prioritize human answers over AI answers.
If you are human, and you can answer this question, please submit your answer.