Prove that root3 is an rational …
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Posted by Priyanshu Kumar Singh 3 years, 7 months ago
- 3 answers
S M 3 years, 7 months ago
Let
√3 is rational number
√3=p/q. ( where p and q are integers and q is not is equal to 0 and having no common factor )
3= p²/q²
P²= 3q²( equation 1)
P is an Odd integer
P= 3m
Put the value of equation 1
(3m)²=3q²
9m²=3q²
q²=3m²
q is an odd integer
So both p and q are odd integers and having a common factor 3, which condrids that p and q having no common factors.
Our supposition is wrong . Hence √3 is an irrational number.
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Aryan Sharma 3 years, 6 months ago
1Thank You