Question

prove that rt11 is an irrational

Answer 1

suppose √11 is a rational
so,
√11 is equal to the α/b

then
sqarring the both sides

(√11)sqare= (a/b)whole square
now by seeing the equation
you have to remove squares from both sides
So,
11 divides a
then
in L. H. S, there is an irrational which cannot express in p/q form
in r. h. s, there is rational
so,
$\sqrt{11} \: is \: an \: irrtionl \\ hence \: proved.$