prove that root 2 + root 3 is irrational no

root 2 is an irrational number. root 3 is also irrational. when you add 2 irrational unequal irrational number, u get an irrational number... in school level u can say that root 2 + root 3 cannnot be expressed as a fraction x/y (y is not equal to zero) and X and Y are integers.... hence root 2 + root 3 is irrational...

it is a rule that wen irrational no's are added or subracted u get an irrational no. and by adding or subracting two rational no's u get a rational no. pls approve tis