Multiple choice The product of the irrational numbers$\sqrt 5$ and $\sqrt 7$ will be an integer rational irrational neither rational nor irrational Reveal answer Fill a bubble to check yourself C Correct answer Explanation Consider $\sqrt p$ and $\sqrt q$. If p and q are prime numbers, then $\sqrt p \times \sqrt q$ will be irrational. $\therefore$ Product of $\sqrt 5$ and $\sqrt 7$ is an irrational number.