Question

prove that √7-3 is an irrational number.

Answer 1

Let, √7-3 is a rational no. of the form a/b
so,
√7-3 = a/b
√7 = a/ b + 3
√ 7 = a+3b/b

RHS. a+3b is a rational no.
LHS. √ 7 is. a irrational no.

so, RHS IS NOT EQUAL TO RHS.
therefore, √7-3 is an irrational no