Question

prove that root 3 minus root 2 is irrational

Answer 1

to prove √3 -√2 is irrational
we know that √3 and √2 are irrational numbers and if we subtract an irrational number from an irrational number then the answer is also irrational
hence proved.

Answer 2

hey
here is your answer
let 3-√2 be a rational number
hence,3-√2= a/ b , where a and b are integers and b is not equal to 0...
3-√2= a/b
√2= a/b -3
= √2= a-3b/b
here a-3b/b are rational number as a and b are
integers
but √2 is irrational number
therefore , the contradiction we suppose is wrong ,
hence, 3-√2 is irrational number ...
hope it will help you
thanx