Give that root under 3 is irrational number prove that 2 + root 3 is an irrational number
Answers
Answered by
0
Answer:
Step-by-step explanation:
First of all, given: √3 is irrational
To prove: 2+√3 is irrational
Proof:-
Let 2+√3 = p/q ( p and q are co-primes)
√3 = p/q -2
Now , we know that p,q and -2 are rational. So √3 will also be rational.
But it’s given that√3 is irrational. So our assumption was wrong .
Hence 2+√3 is also irrational.
Hence proved :)
Similar questions