Difference between revisions of "Activity - Irrational Numbers"
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(Created page with "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 ...") |
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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 |
− | + | ||
− | √ | + | 2.Write four rational numbers between √ 2 and √ 3 |
+ | '''Solution:''' | ||
+ | root 2 ~1.414 and | ||
+ | root 3 ~ 1.732 | ||
+ | Rational numbers of root2 and root 3 is in between 1.4 to 1.7 like 1.45,1.5,1.55, 1.6 ........ | ||
+ | |||
+ | 3.Prove that √ 2 + √ 5 is an irrational number | ||
+ | |||
+ | [[Category:Types of Numbers]] |
Latest revision as of 10:22, 7 November 2019
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 wright 4 and 5 as √ 16 =4 and √ 25 =5 Between √ 16 and √ 25 there exists √ 17 ,√ 18 , √ 19 , √ 20 , √ 21 , √ 22 , √ 23 , √ 24
2.Write four rational numbers between √ 2 and √ 3 Solution: root 2 ~1.414 and root 3 ~ 1.732 Rational numbers of root2 and root 3 is in between 1.4 to 1.7 like 1.45,1.5,1.55, 1.6 ........
3.Prove that √ 2 + √ 5 is an irrational number