Prove that root3 is an rational no.

1.	Prove that root3 is an rational no.
Answer» 1.73 is a rational number and /sqrt 3 = 1.73 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/q²P²= 3q²( equation 1)P is an Odd integerP= 3mPut the value of equation 1 (3m)²=3q²9m²=3q²q²=3m²q is an odd integerSo 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. Irrational **

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