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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 7 Exercise 1(B)
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Write a pair of irrational numbers whose sum is irrational.

Answer:

\sqrt{3}+5 \text { and } \sqrt{5}-3

are irrational numbers whose sum is irrational.

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

Video transcript
"hello students uh welcome to lido learning so the question on the screen is write a pair of irrational numbers whose sum is irrational so there can be many of them so let us see which is the what we can find out so let us see first number is root 3 plus 5 and let us assume another number as root 5 minus 3 now let us see what the sum of these two numbers result into so root 3 plus 5 plus root 5 minus 3 so this will result into 2 plus root 3 plus root 5 which is an irr rational number now with this we can we can say that root 3 plus 5 and root 5 minus 3 are two irrational numbers and the sum of these two irrational numbers is also irrational so that is the answer so thank you friends and 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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