Difference between revisions of "Activity - Irrational Numbers"
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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 | ||
| + | |||
| + | 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 | ||
| + | [[:File:Screenshot from 2014-01-23 23:07:38.png]] | ||
Revision as of 17:38, 23 January 2014
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 File:Screenshot from 2014-01-23 23:07:38.png
