Question

Classify the following numbers as rational or irrational:

$(3+\sqrt{23})-\sqrt{23}$

Answer 1

Step1: Simplify the given expression.

$(3+\sqrt{23})–\sqrt{23}=3+\sqrt{23}–\sqrt{23}$

$=3$

Since, the number $3$ is rational number

Therefore, $(3+\sqrt{23})-\sqrt{23}$ is rational.

Hence, the required answer is rational number.