Question

prove that 2+3√5 is an irrational number​

Answer 1

Answer:

Let x=2−35 be a rational number.

35=2−x

5=32−x

Since x is rational, 2-x is rational and hence 32−x is also rational number

⇒5 is a rational numbers, which is a contradiction.

Hence 2−35 must be an irrational number.

Answer 2

Answer:

Its an irrational number because if we convert it is into decimal it will be unending