Question

Prove that 3+2root 5 is irrational

Answer 1

Answer:

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.

Answer 2

Answer:

Your answer is here.

Step-by-step explanation:

Let, if possible 3+2√5 be rational.

=> 3+2√5=0

=> 2√5=-3

=> √5=-3/2

We known that root of prime number is always irrational.

So, LHS is irrational but RHS is rational.

Hence, our supposition is wrong because irrational number is not equal to rational number.

I hope it will you.

Thank you.