Question

Prove that route 2+ route 3 is irrational

Answer 1

proove=root2 + root 3 is irrational
$\sqrt{2} + \sqrt{3}$
on squaring the term
on solving we get :-
5+2×root 6
which is clearly an irrational number besides this ALWAYS the sum of rational with an irrational is irrational .
HENCE:-
$\sqrt{2} + \sqrt{3}$
IS IRRATIONAL.

** hope this answer has helped u **

Answer 2

Answer:

route 2 +route 3 is irrational  

Step-by-step explanation:

if posssible,let route 2 and 3 be rational. then

route 2+route 3 =(route 2 + route 3)^2 is rational

=5+2 route 6 is rational .

being the sum of rational and irrational is irrational

route 2+route 3 = irrational

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