Solue √3
is irrational
Answers
Answered by
5
Answer:
Yes.... Refers to the attachment.... Hope it helps.... Pls mark it as the brainliest answer.... Thanks....
Attachments:
Answered by
2
Answer:
We assume √3 is a rational number
i.e. √3=a/b v(where a and b are coprime and b≠0
√3b=a
3b^2=a^2
therefore 3divides a^2
which implies 3 divides a
Put. a=3c
3b^2=9c^2
b^2=3c^2
therefore 3 divides b^2
which implies 3 divides b
it is a contradiction to our fact that a and be are coprime
therefore our assumption is wrong
which implies that √3 is an irrational no.( 1)
we assume 2√3+5 is a rational number
i.e. 2√3+5=p/q (where p and q are coprime and b≠0)
√3=p-5q/2q
which is a rational number
it is a contradiction to our fact that √3 is an irrational no.
therefore our assumption is wrong
which implies that 2√3+5 is an irrational no.
♤Mark As Brainliest ♤
♤Follow me♤
♡Thank plz♡
Similar questions