Changes

Irrational numbers

Irrational numbers

Exercise 1.3.1

Exercise 1.3.1

1.Write four possible irrational numbers between 4 and 5.

#1.Write four possible irrational numbers between 4 and 5.

Solution:

#Solution:

Consider the squares of 4 and 5

#Consider the squares of 4 and 5

Square of 4 = 16 and Square of 5 = 25

#Square of 4 = 16 and Square of 5 = 25

We can also wright 4 and 5 as

#We can also wright 4 and 5 as

√ 16 =4 and √ 25 =5

#√ 16 =4 and √ 25 =5

√ 16 and √ 25 there exists

#Between √ 16 and √ 25 there exists

√ 18 , √ 19 , √ 20 , √ 21 , √ 22 , √ 23 , √ 24

#√ 17 ,√ 18 , √ 19 , √ 20 , √ 21 , √ 22 , √ 23 , √ 24