Question

AP&TS-X-MATHEMATICS
21. Prove that 3+2V5 is an irrational number.​

Answer 1

Step-by-step explanation:

Let 3+2√5= p/q is rational number

3+2√5=p/q

2√5=p/q-3

2√5=(p-3q)/q

√5=(p-3q)/2q

RHS is rational but LHS √5 is not a rational number

So 3+2√5 is an irrational number

HENCE PROVED