Question

prove that 3+√5 is irrational number​

Answer 1

Answer:3+ root 5 is an irrational number.

Step-by-step explanation: let us assume to the contrary that 3+ root 5 is an rational number.

So, p/q=(3+root5)

Now, p/q-3= root 5

P-3q/q=root 5

Here ,LHS is rational no.

So rhs should also be a rational number.

But here is contradiction that root 5 is an irrational no.

So, 3+root 5 is an irrational no.

Hence proved.