Question

if'a' and 'b ' are two prime numbers, then√ab is an irrational or not? justify answer with two examples​

Answer 1

Answer:

Yes they will be examples of irrational number..

Ex. 1. = if a = 2 and b = 3

$\sqrt{ab} = \: \sqrt{2 \times 3} \\ \sqrt{6}$

Ex. 2. = if a = 5 and b = 7

$\sqrt{ab} \: = \: \sqrt{5 \times 7} \\ \sqrt{35}$