Multiple choice

The product of the irrational numbers$\sqrt 5$ and $\sqrt 7$ will be

  1. an integer

  2. rational

  3. irrational

  4. 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.