Difference between revisions of "Real numbers"
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= Hints for difficult problems = | = Hints for difficult problems = | ||
| − | Irrational numbers | + | Irrational numbers<br> |
| − | Exercise 1.3.1 | + | Exercise 1.3.1<br> |
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1.Write four possible irrational numbers between 4 and 5. | 1.Write four possible irrational numbers between 4 and 5. | ||
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Solution: | Solution: | ||
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Consider the squares of 4 and 5 | Consider the squares of 4 and 5 | ||
| − | + | Square of 4 = 16 and Square of 5 = 25 | |
| − | We can also | + | |
| − | =4 | + | We can also write 4 and 5 as |
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| + | √ 16 =4 and √ 25 =5 | ||
Between and there exists | Between and there exists | ||
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| − | + | √ 17 ,√ 18 , √ 19 , √ 20 , √ 21 , √ 22 , √ 23 , √ 24 | |
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= Project Ideas = | = Project Ideas = | ||
Revision as of 06:26, 23 February 2014
| Philosophy of Mathematics |
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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
Project Ideas
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