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Find three irrational numbers between 2 …

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Find three irrational numbers between 2 and 2.5 .

Posted by Mayank Kapadne 5 years, 2 months ago

CBSE > Class 09 > Mathematics

2 answers

Gaurav Seth 5 years, 2 months 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× 2^1/2 .

0Thank You

Mayank Kapadne 5 years, 2 months ago

Find three irrational numbers between 2 and 2.5 .

0Thank You

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