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

#Between √ 16 and √ 25 there exists

# Between √ 16 and √ 25 there exists

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

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