Identify whether is rational or irrational.

Foundation

Mathematics Foundation

Properties of Real Number

Irrational Number

Linear Equations in One Variable

Question

Identify whether $\sqrt{32}$ is rational or irrational.

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

$\sqrt{32} = \sqrt{16 \times 2} = 4 \sqrt{2}$

4 is a rational number and

\sqrt{2}

is an irrational number.

∴ 4 \sqrt{2}

is an irrational number and hence

\sqrt{32}

is an irrational number.