Question

Say True or False:

$5+3\sqrt{2}$ is an irrational number.

• A. True
• B. False

Answer 1

The correct option is A True

In $5+3\sqrt{2}$, the number $\sqrt{2}$ is an irrational number.

Also, $5$ is a rational number.

We know, the sum of a rational number and an irrational number is always an irrational number.

Therefore, since $\sqrt{2}$ is an irrational number, $5+3\sqrt{2}$ is also an irrational number.

Hence, the given statement is true.