Math, asked by daneenthecool, 1 year ago

5. Find a rational number between the two irra.
tional numbers a = 3.64279... and b = 3.65327....

with full explanation please​

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Answered by Muntazirali
3

  1. Question⇒  5. Find a rational number between the two irra.
  2. tional numbers a = 3.64279... and b = 3.65327....

Step-by-step explanation:

  • There are infinite rational numbers between these two - and finding a rational between them is easy - since they are both rational themselves :
  • 3.64279 = \frac{364279}{100,000} and 3.65327 = \frac{364327}{100,000}
  • So - even with a denominator of 100,000, then there are
  • 364327 - 364279 = 48 rationals :
  • \frac{364280}{100,000}
  • \frac{364281}{100,000}
  • \frac{364282}{100,000}
  • \frac{364327}{100,000}
  • As you can see - you could increase the denominator to 1,000,000 and you can have another nearly 500 rationals, and increase the denominator again, and again, and again - in-fact you can make the denominator as big as you like, and there will always be rationals to find and no limit to how big the denominator can get.
Answered by AishaArpita
8

Hey mate there are many irrational number between given rational number..

3.64343343334333......

It is more than 3.64279....

And less than 3.65327.....

Please mark me as brainliest.

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