prove that 3+2 root 5 is irrational
Answers
Answered by
1170
Hello!!
3 + 2√5 = a/ b
2√5 =a/b -3
√5 =a-3b/2b
√5 is rational.
This contradicta the fact that √5 is irrational.
So our supposition is incorrect.
Hope this will help you.
3 + 2√5 = a/ b
2√5 =a/b -3
√5 =a-3b/2b
√5 is rational.
This contradicta the fact that √5 is irrational.
So our supposition is incorrect.
Hope this will help you.
ram388:
awesome thank you for your answer
pleasure helping you.
Answered by
74
Let us assume 3+2√5 is rational number
3+2√5=p/q
2√5=p/q-3/1
√5=p-3q/2q
p-3q/2q
our assumption was wrong but √5 is irrational number
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