Question

$3+\sqrt{3}$ is a rational number. State whether true or false.

• A. True
• B. False

Answer 1

The correct option is B

False

3 is a rational number and $\sqrt{3}$ is an irrational number. $\sqrt{3}$ when expanded can be written as 1.732050807568877 which when added to 3 gives 4.732050807568877 which again is a non-terminating non-recurring decimal. This is the very definition of an irrational number.