Question

Prove that (3 + 2√5) is an irrational number, given that √5 is an
irrational number.​

Answer 1

Answer:

Step-by-step explanation:

Hope that it will help you

Answer 2

Answer:

Step-by-step explanation:

so, assume that 2+3root 5 is rational.

2+3root5=p/q,where p and q are coprimes and q not equals to 0.

3root 5=p/q-2.

root 5=p/q-2/3.

A rational number never equals to an irrational number.

We assume that p and q are coprimes and q not equals to 0.

so, our assumption is wrong.

2+3root 5 is an irrational number.