Find which of the variables x, y, z and u represent rational numbers and which irrational numbers:(i) x2 = 5 (ii) y2 = 9(iii) z2 = .04 (iv) 𝑢2 = 17/4

(i) x2 = 5

On taking square root on both sides, we get

x = ± √5

So, x is an irrational number.

(ii) y2 = 9

On taking square root on both sides, we get

y = ± 3

So, y is a rational number.

(iii) z2 = .04

On taking square root on both sides, we get

z = ± 0.2

So, z is a rational number.

On taking square root on both sides, we get

So, u is an irrational number because 17 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
Champ Quiz | Number Systems43 mins
Simplification of Expressions and Finding their Values Using Laws of Exponents38 mins
Doubts & Quiz - Simplification of Expressions and Laws of Exponents41 mins
Atomic Number46 mins
Genius Quiz | Number Series24 mins
Quiz | Rationalizing the Denominator39 mins
Foundation | Number Theory Part-144 mins
Irrational numbers on Number line32 mins
Score more on Number line44 mins
Terminating & Non - Terminating Decimal Expansion51 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
RELATED QUESTIONS :

If =1.4142, then is equal to

RD Sharma - Mathematics

The value of is

RD Sharma - Mathematics

If x = , then x2 + -2 =

RD Sharma - Mathematics

If , then a =

RD Sharma - Mathematics

If x = 3+, find the value of x2+.

RD Sharma - Mathematics

The decimal representation of an irrational number is

RS Aggarwal & V Aggarwal - Mathematics

Write four irrational numbers between 0.1 and 0.2.

RS Aggarwal & V Aggarwal - Mathematics