Which of the following numbers are irrational numbers?

Foundation

Mathematics Foundation

Properties of Real Number

Irrational Number

Rationalisation

Question

Which of the following numbers are irrational numbers?

A

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

B

$2 - \sqrt{5}$

C

$\frac{1}{\sqrt{2}}$

D

2π

LiveFree JEE Main Previous Year Online Papers Live Free JEE Advance Previous Year Online Papers

JEE Advance

College PredictorLive

Know your College Admission Chances Based on your Rank/Percentile, Category and Home State.

Get your JEE Main Personalised Report with Top Predicted Colleges in JoSA

A is a irrational number as it cannot be expressed of the form $\frac{p}{q}$

B is a rational number. As it can be expressed in the form of

\frac{3}{1}

C is a irrational number as it cannot be expressed of the form

\frac{p}{q}

D is a irrational number as

π

is itself irrational and the product of irrational with rational is always irrational.