Question

PROVE THAT root 5 is an irrational. in easy way.. frnds...

Answer 1

Answer

Let us assume that √5 is a rational number.
we know that the rational numbers are in the form of p/q form where p,q are intezers.
so, √5 = p/q
     p = √5q
we know that 'p' is a rational number. so √5 q must be rational since it equals to p
but it doesnt occurs with √5 since its not an intezer
therefore, p =/= √5q
this contradicts the fact that √5 is an irrational number
hence our assumption is wrong and √5 is an irrational number....

HOPE IT HELPED FRIEND ♡♡♡♡

Answer 2

let us assume that root 5 is a rational number.
root5= 1root5
1root5=p/q
root5=p/q-1
LHS=irrational,RHS=rational
therefore,this statement is contradictory and hence , root 5 is an irrational number.

hope it helps!!!!!!!