Question

Classify the following numbers as rational or irrational : $2-\sqrt{5}$

• A. Irrational number
• B. Rational number
• C. Less Data
• D. None of the above

Answer 1

Answer: (A)

Irrational number

$2$ is rational

$\sqrt{5}=\mathrm{2.035.........}$ which is non terminating and non repeating hence irrational number.

We know that, $\text{rational}$ $-$ $\text{irrational}=\text{irrational number.}$

Hence $2-\sqrt{5}=irrationalnumber$

Hence, option A is the correct answer.