SOLUTION: State whether the number (√2-√3)(√2+√3) is rational or irrational justify

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Question 764886: State whether the number (√2-√3)(√2+√3) is rational or irrational justify
Answer by ramkikk66(644) About Me  (Show Source):
You can put this solution on YOUR website!

%28sqrt%282%29+-+sqrt%283%29%29%2A%28sqrt%282%29+%2B+sqrt%283%29%29

applying the identity (a+b)*(a-b) = a^2 - b^2

= %28sqrt%282%29%29%5E2+-+%28sqrt%283%29%29%5E2

= +2+-+3+=+-1

Hence the expression is a rational.

:)