Q2. Find three irrational numbers between
(i) -11 and -12 (ii)
11
/4
and 13
/5
(iii) √2 and √3
Answers
Answer:
Three irrational no. between
1. -11. 086269....
-11. 096335...
-11. 1469963..
2. 2.786432...
2.87643690...
2.965438...
3. 1.42799....
1.436779093...
1.585323...
Step-by-step explanation:
1 when we closely observe, -11 and -12 has many no. in between it.
eg-11. 1 -11.2, -11.3, and many more
2 when we divide 11 /4 we get 2.75 and 13/5 we get 2.6, again many numbers like
2.7, 2.8, 2.9 and many more
3 when we find the value of root 2=1.414.. and root 3=1.732..again many numbers like
1.412.., .356.., 1.6890 and many more
JUST MAKE SURE THAT ALL NUMBERS WE FIND IN BETWEEN ANY TWO SHOULD BE GREATER THAN FIRST NUMBER AND SMALLER THAN SECOND NUMBER AND IN CASE OF FINDING IRRATIONAL NUMBER PROVIDE ....... SIGN AT LAST OF EACH NUMBER TO SHOW THAT THE DECIMAL EXPANSION IS NON TERMINATING AND HENCE., IS AN IRRATIONAL NUMBER.
THANK YOU
IF HELPFUL PLEASE LIKE IT.