Question

prove that root 2 + root 3 is irrational I) the product of two rational numbers is a rational number ii) the product of two irrational numbers is an irrational number​

Answer 1

Let p=

3

and q=

3

be two irrational numbers

pq=

3

×

3

=3

which is rational

Now let p=

3

and q=

2

pq=

3

×

2

=

6

which is an irrational number

So the product can be both rational and irrational .

Option C is correct.