SOLUTION: Please help me solving this: Simplify: {{{(1+sqrt(2)+sqrt(3))/(1-sqrt(2)+sqrt(3))}}}

Algebra ->  Polynomials-and-rational-expressions -> SOLUTION: Please help me solving this: Simplify: {{{(1+sqrt(2)+sqrt(3))/(1-sqrt(2)+sqrt(3))}}}      Log On


   

Question 1042546: Please help me solving this:
Simplify: %281%2Bsqrt%282%29%2Bsqrt%283%29%29%2F%281-sqrt%282%29%2Bsqrt%283%29%29
Answer by ana@10(4) About Me  (Show Source):
You can put this solution on YOUR website!
{{1+√2+√3}÷{1-√2+√3}}×{{1+√2-√3}{1+√2-√3}}.
After solving this you will get 2√2/{2√6-4}
Then taking 2 common from numerator and Denominator and cancelling it out we will get
√2÷{√6-4} then take out √2 common from numerator and denominator and wil get
1÷√3-√2 then again rationalize it. {1÷{√3-√2}}×{{√3+√2}÷{√3+√2}} then final ans √3+√2