Show that root3, 2+root3, root5 , 2root3+root5 are irrational number Question Show that root3, 2+root3, root5 , 2root3+root5 are irrational number in progress 0 Math Valentina 4 weeks 2021-08-18T20:24:50+00:00 2021-08-18T20:24:50+00:00 1 Answer 0 views 0

## Answers ( )

Answer: addition of a rational and irrational no is always a irrational no.

Here2 is rational and √3 is irrational, so sum of rational and irrational no is always irrational.

Thus 2+√3 is irrational.

Apply same for2√3+√5.

Now we have to assume √5 to be a rational no.

Then we have to prove that it is not a rational no.

Thus our contradiction was wrong.

Thus root 5 is an irrational no

Step-by-step explanation: