Question

Prove that the following are irrational.
(i) 1/√2 (ii) √3 + √5 (iii) 6 + √2 (iv) √5 (v) 3 + 2√5

Answer 1

According to definition:

All set of numbers which are not rational will be irrational.

We can write in terms of decimal.

We can't write as fraction.

One most important thing it will have non repeating decimal unit.

See the attachment.