Prove that 5+2√3 is irrational.
Answers
Answered by
2
Heya frnd ur answer
__________________
Let us suppose that 5+2√3 is a rational number where a, b are integers b is not equal to zero and a, b are co- primes.
5+2√3= a/b
2√3=a/b-5
2√3=a-5b/b
√3=a-5b/2b
√3= integer/integer=rational number
Which is a contradiction.
So what we have supposed comes out to be false
Therefore 5+2√3 is irrational number.
Hope it helps....... ✌✌✌
^_^
__________________
Let us suppose that 5+2√3 is a rational number where a, b are integers b is not equal to zero and a, b are co- primes.
5+2√3= a/b
2√3=a/b-5
2√3=a-5b/b
√3=a-5b/2b
√3= integer/integer=rational number
Which is a contradiction.
So what we have supposed comes out to be false
Therefore 5+2√3 is irrational number.
Hope it helps....... ✌✌✌
^_^
Similar questions