Question

prove that 5 root square -3 root square is irrational number

Answer 1

$\sqrt{5}$

lets assume that 5 root square is a rational number

so, by leucid's division lemma,

a*b=q+r , where 0>r>5

take a and b as 5 (where a and b are integers ,q≠0 ,and a and b are co - prime.;ouo ;u vsfbvsdbe bfc gf v vxc dg bdv sfc vdvgf