SOLUTION: Please help me solving If {{{a=(4(6)^(1/2))/(2^(1/2)+3^(1/2))}}} then the value of {{{(a+2(2)^(1/2))/(a-2(2)^(1/2))+(a+2(3)^(1/2))/(a-2 (3)^(1/2))}}} is given by?

Algebra ->  Exponents -> SOLUTION: Please help me solving If {{{a=(4(6)^(1/2))/(2^(1/2)+3^(1/2))}}} then the value of {{{(a+2(2)^(1/2))/(a-2(2)^(1/2))+(a+2(3)^(1/2))/(a-2 (3)^(1/2))}}} is given by?       Log On


   



Question 1046030: Please help me solving
If a=%284%286%29%5E%281%2F2%29%29%2F%282%5E%281%2F2%29%2B3%5E%281%2F2%29%29 then the value of
is given by?

Answer by MathTherapy(10551) About Me  (Show Source):
You can put this solution on YOUR website!
Please help me solving 
If a=%284%286%29%5E%281%2F2%29%29%2F%282%5E%281%2F2%29%2B3%5E%281%2F2%29%29 then the value of
 is given by?

 
a+=+%284sqrt%286%29%29%2F%28sqrt%282%29+%2B+sqrt%283%29%29 --- Applying matrix%282%2C1%2C+%22+%22%2C+x%5E%28y%2Fz%29+=+root%28z%2C+x%5Ey%29%29
 -- Rationalizing denominator by multiplying numerator and denominator by
                         sqrt%282%29+-+sqrt%283%29, the CONJUGATE of the denominator, sqrt%282%29+%2B+sqrt%283%29
 
a+=+%284sqrt%2812%29+-+4sqrt%2818%29%29%2F%282+-+3%29 ===> a+=+%284sqrt%2812%29+-+4sqrt%2818%29%29%2F%28-+1%29
                       a+=+%284sqrt%284%29sqrt%283%29+-+4sqrt%289%29sqrt%282%29%29%2F%28-+1%29 ===> a+=+%284%282%29sqrt%283%29+-+4%283%29sqrt%282%29%29%2F%28-+1%29
                                               a+=+%288sqrt%283%29+-+12sqrt%282%29%29%2F%28-+1%29 ===> a+=+-+8sqrt%283%29+%2B+12sqrt%282%29 --- Multiplying numerator and 
                                                                                       denominator by - 1


 --- Applying matrix%282%2C1%2C+%22+%22%2C+x%5E%28y%2Fz%29+=+root%28z%2C+x%5Ey%29%29

 ----- Substituting -+8sqrt%283%29+%2B+12sqrt%282%29 for a

 

 ====>  =====> 















%28240+-+98sqrt%283%29sqrt%282%29%29%2F%2860+-+49sqrt%283%29sqrt%282%29+%2B+60%29  

%28240+-+98sqrt%283%29sqrt%282%29%29%2F%28120+-+49sqrt%283%29sqrt%282%29%29 ===> %282%28120+-+49sqrt%283%29sqrt%282%29%29%29%2F%28120+-+49sqrt%283%29sqrt%282%29%29
                    = 2 <=== , IF