Answer :

(i) As we know 9 is a square of 3,


√9 = 3, which is rational


√9 is a rational number.


(ii) As we know 225 is a square of 15,


√225 = 15, which is a rational number


√225 is a rational number.


(iii) As value of √7 cannot be written exactly and thereby cannot be written in form, √7 is an irrational number.


(iv) We can write,


√50 = 5√2


As value of √2 cannot be written exactly and thereby cannot be written in form, √2 is an irrational number.


√50 is an irrational number.


(v) As we know 100 is a square of 10,


√100 = 10, which is a rational number


√100 is a rational number.


(vi) As we know 81 is a square of 9,


-√100 = -9 , which is a rational number


-√81 is a rational number.


(vii) As value of √42 cannot be written exactly and thereby cannot be written in form, √42 is an irrational number.


(viii) As value of √29 cannot be written exactly and thereby cannot be written in form, √29 is an irrational number.


(ix) We can write,


-√1000 = -10√10


As value of √10 cannot be written exactly and thereby cannot be written in form, √10 is an irrational number.


-√1000 is an irrational number.


Rate this question :

How useful is this solution?
We strive to provide quality solutions. Please rate us to serve you better.
Related Videos
Smart Revision | Rapidly Revising Exponents of Real NumbersSmart Revision | Rapidly Revising Exponents of Real NumbersSmart Revision | Rapidly Revising Exponents of Real Numbers53 mins
Quiz on Irrational NumbersQuiz on Irrational NumbersQuiz on Irrational Numbers31 mins
Converting Recurring Numbers in Rational FormConverting Recurring Numbers in Rational FormConverting Recurring Numbers in Rational Form48 mins
Introduction to Irrational NumbersIntroduction to Irrational NumbersIntroduction to Irrational Numbers50 mins
Irrational numbers on Number lineIrrational numbers on Number lineIrrational numbers on Number line32 mins
RD Sharma | Factorization of Algebraic ExpressionRD Sharma | Factorization of Algebraic ExpressionRD Sharma | Factorization of Algebraic Expression42 mins
The Curious Case of Irrational NumbersThe Curious Case of Irrational NumbersThe Curious Case of Irrational Numbers43 mins
Quiz | Irrational Numbers and its OperationsQuiz | Irrational Numbers and its OperationsQuiz | Irrational Numbers and its Operations45 mins
Smart Revision | Master Rational and Irrational NumbersSmart Revision | Master Rational and Irrational NumbersSmart Revision | Master Rational and Irrational Numbers58 mins
NCERT | Real Life Examples of 3 Laws of MotionNCERT | Real Life Examples of 3 Laws of MotionNCERT | Real Life Examples of 3 Laws of Motion36 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
caricature
view all courses
RELATED QUESTIONS :

Let us writWest Bengal Mathematics

Let us write the West Bengal Mathematics

What is meaWest Bengal Mathematics