Prove that( root3 minus root2 )is an irrational number.
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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 ...
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