# State which of the following numbers are rational and irrational.i. 2-√5ii. (3 + √23)-√23iii. iv. v. 5π

i. 2-√5

Since √5 is an irrational number

2 - √5 is irrational number.

ii. (3 + √23)-√23

(3 + √23)-√23

= 3

Since 3 is rational

(3 + √23)-√23is rational number.

iii.

=

Since is rational

is rational

iv.

Rationalizing we get,

Since is irrational

is irrational.

v. 5π

Since is irrational

is irrational.

Rate this question :

How useful is this solution?
We strive to provide quality solutions. Please rate us to serve you better.
Related Videos
Quiz | Rationalizing the Denominator39 mins
The Curious Case of Irrational Numbers43 mins
Irrational numbers on Number line32 mins
Terminating & Non - Terminating Decimal Expansion51 mins
Quiz on Irrational Numbers31 mins
Quiz | Learning the Laws of Exponents52 mins
Quiz | Irrational Numbers and its Operations45 mins
Champ Quiz | Rationalization30 mins
RD Sharma | Practice Imp.Qs. on Number System48 mins
Quiz | Decimals - Whether Rational or Irrational43 mins
Try our Mini CourseMaster Important Topics in 7 DaysLearn from IITians, NITians, Doctors & Academic Experts
Dedicated counsellor for each student
24X7 Doubt Resolution
Daily Report Card
Detailed Performance Evaluation
view all courses