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

Question 9 Exercise 1(B)

Write a pair of irrational numbers whose difference is irrational.

\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"
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