State whether the given statement is True or False : is an irrational number.

Foundation

Mathematics Foundation

Properties of Real Number

Irrational Number

Linear Equations in One Variable

Question

State whether the given statement is True or False :

2 - 3 \sqrt{5}

is an irrational number.

True

False

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

Here 2 is a rational number

and

3 \sqrt{5}

is an irrational number and difference of rational and irrational is always an irrational number

So that

2 - 3 \sqrt{5}

is an irrational number

hence option A is correct.