Prove that Root3 is irrational number

1.	Prove that Root3 is irrational number
Answer» If possible let √3 is a rational number Let √3 =a/b {a and b is co- prime number} = b√3 =a [ squaring both side][ b√3]²=[a]²= 3b²=a²................. (1) 3 is divides a²Their for 3 divides a Let a= 3c [ c is positive integer]Putting a=3c in equation (1) # 3b²= (3c) ² # 3b² = 9c² # b²= 3c² 3 is divides b²Their for 3 divides b 3 is common factor of A and B But It contradict the fact a and b are co-prime number So our assumlat is wrong Their for √ 3 is an irrational number. .......... Aakash Anand ?

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