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From Karnataka Open Educational Resources
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, 22:59, 23 January 2014
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Irrational numbers
Irrational numbers
Exercise 1.3.1
Exercise 1.3.1
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# 1.Write four possible irrational numbers between 4 and 5.
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1.Write four possible irrational numbers between 4 and 5.
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# Solution:
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'''Solution:'''
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# Consider the squares of 4 and 5
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Consider the squares of 4 and 5
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# Square of 4 = 16 and Square of 5 = 25
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Square of 4 = 16 and Square of 5 = 25
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# We can also wright 4 and 5 as
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We can also wright 4 and 5 as
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# √ 16 =4 and √ 25 =5
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√ 16 =4 and √ 25 =5
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# Between √ 16 and √ 25 there exists
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Between √ 16 and √ 25 there exists
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# √ 17 ,√ 18 , √ 19 , √ 20 , √ 21 , √ 22 , √ 23 , √ 24
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√ 17 ,√ 18 , √ 19 , √ 20 , √ 21 , √ 22 , √ 23 , √ 24