Prove that (3+25)is itrational

1.	Prove that (3+25)is itrational
Answer» Let take that 3 + 2√5 is a rational number.So we can write this number as3 + 2√5 = a/bHere a and b are two co prime number and b is not equal to 0Subtract 3 both sides we get2√5 = a/b – 32√5 = (a-3b)/bNow divide by 2 we get√5 = (a-3b)/2bHere a and b are integer so (a-3b)/2b is a rational number so √5 should be a rational number But √5 is a irrational number so it contradict the factHence result is 3 + 2√5 is a irrational number

Discussion