Real numbers
From Karnataka Open Educational Resources
| Philosophy of Mathematics |
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Hints for difficult problems
Irrational numbers
Exercise 1.3.1
1.Write four possible irrational numbers between 4 and 5.
Solution:
Consider the squares of 4 and 5
Square of 4 = 16 and Square of 5 = 25
We can also write 4 and 5 as
√ 16 =4 and √ 25 =5
Between and there exists
√ 17 ,√ 18 , √ 19 , √ 20 , √ 21 , √ 22 , √ 23 , √ 24
Use the following Geogebra applet to Visualise Rational and Irrational Numbers
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