The product of two irrational numbers is an irrational number (True/False).

Question:

The product of two irrational numbers is an irrational number (True/False).

Solution:

The product of two irrational numbers is an irrational number (True/False)

False

Reason:

Let us assume the two irrational numbers be $\sqrt{2}$ and $\sqrt{3}$

Sometimes, it is and sometimes it isn't. 

$\sqrt{2}$ And $\sqrt{3}$ are both irrational as their product is $\sqrt{6}$

Now $\sqrt{2}$ and $\sqrt{8}$ are both irrational but their product, $\sqrt{16}$ is rational (in fact, it equals 4 )

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