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Selina Solutions Class 9 Mathematics Solutions for Exercise 1(B) in Chapter 1 - Chapter 1- Rational and Irrational Numbers

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Question 9 Exercise 1(B)
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Write a pair of irrational numbers whose difference is irrational.

Answer:

\sqrt{3}+2 \text { and } \sqrt{2}-3

are two irrational numbers whose difference is irrational.

(\sqrt{3}+2)-(\sqrt{2}-3)=\sqrt{3}+2-\sqrt{2}+3=\sqrt{3}-\sqrt{2}+5 Here, the resultant is irrational.

Video transcript
"hello friends welcome to leader learning so we have a question on the screen which says write a pair of irrational numbers whose differences is rational so let us assume that the first number is root 3 plus 5 this is an irrational number let us take another irrational number which is 5 plus root 7 now if we do a difference of these two numbers subtract these two numbers what do we get root 3 plus 5 minus 5 plus root 7. this will result into root 3 plus root 7 now if you see this is an irrational number so the pair of irrational numbers that we took in the beginning root 3 plus 5 and 5 plus root 7 is an irrational numbers pair and the difference of it is an irrational number so the answer is this so friends if you have any concerns please write down below this video and subscribe to the channel thank you"
Related Questions
Exercises
Exercise 1(A)
Exercise 1(B)
Exercise 1(C)
Exercise 1(D)
Chapters
Chapter 1- Rational and Irrational Numbers
Chapter 2- Compound Interest [Without Using Formula
Chapter 3- Compound Interest [Using Formula
Chapter 4- Expansions
Chapter 5- Factorisation
Chapter 6- Simultaneous Equations
Chapter 7- Indices [exponents]
Chapter 8- Logarithms
Chapter 9- Triangles [Congruency in Triangles]
Chapter 10- Isosceles Triangle
Chapter 11- Inequalities
Chapter 12- Mid-Point and Its Converse
Chapter 13- Pythagoras Theorem
Chapter 14- Rectilinear Figures
Chapter 15- Construction of Polygons
Chapter 16- Area Theorems
Chapter 17- Circles
Chapter 18- Statistics
Chapter 19- Mean and Median
Chapter 20- Area and Perimeter of Plane Figures
Chapter 21- Solids
Chapter 22- Trigonometrical Ratios
Chapter 23- Trigonometrical Ratios of Standard Angles
Chapter 24- Solution Of Right Triangles
Chapter 25- Complementary angles
Chapter 26- Co-ordinate Geometry
Chapter 27- Graphical Solution
Chapter 28- Distance Formula
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