Real numbers

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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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