Foundation
Mathematics Foundation
Properties of Real Number
Irrational Number
Rationalisation
Question
State true or false. is an rational number.
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
Solution
A rational number is a number that can be written as a ratio. That means it can be written as a fraction, in which both the numerator (the number on top) and the denominator (the number on the bottom) are whole numbers.
⇒ All numbers that are not rational are considered irrational. An irrational number can be written as a decimal, but not as a fraction.
is an irrational.
is rational.
Now,
⇒
= 3.732
3.732 cannot be converted into fraction.
∴ is an irrational number.
∴ Given statement is false.