Find three irrational numbers between 2 …
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Posted by Mayank Kapadne 4 years, 1 month ago
- 2 answers
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Gaurav Seth 4 years, 1 month ago
If a and b are any two distinct positive rational numbers such that ab is not
a perfect square , then the irrational number √ab lies between a and b.
∴ Irrational number between 2 and 2.5 is √ 2 × 2.5 , i.e √5
Irrational number between 2 and √5 is √2 × √5 = 2(1/2) × 5(1/4)
Irrational number between √5 and 2.5 is √√5 × 2.5 =
Thus the three irrational numbers between 2 and 2.5 are √5 , 2(1/2) × 5(1/4) and (1/2) × 5 3/4 × 21/2 .
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