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Write three different irrational numbers between the rational nubers5/7and9/11?
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Write three different irrational numbers between the rational nubers5/...
Three different irrational numbers between 5/7 and 9/11


Understanding Irrational Numbers

Before we dive into finding three different irrational numbers between 5/7 and 9/11, let's first understand what irrational numbers are. Irrational numbers are any real numbers that cannot be expressed as a ratio of two integers. They are non-repeating and non-terminating decimals.

Method 1: Using Square Roots

One way to find irrational numbers between rational numbers is by using square roots. We can take the square root of a number that does not have a perfect square root. Here are three different irrational numbers between 5/7 and 9/11:


  • 0.9: The square root of 0.81 is 0.9. This number is irrational because its decimal expansion does not repeat or terminate. 0.9 is greater than 5/7 and less than 9/11.

  • 0.8: The square root of 0.64 is 0.8. This number is also irrational because its decimal expansion does not repeat or terminate. 0.8 is less than 5/7 and greater than 9/11.

  • 0.7: The square root of 0.49 is 0.7. This number is irrational for the same reasons as the previous two. 0.7 is less than both 5/7 and 9/11.



Method 2: Using Pi

Another way to find irrational numbers between rational numbers is by using pi. Pi is an irrational number that is approximately equal to 3.14159. Here are three different irrational numbers between 5/7 and 9/11:


  • 3.14: This is an approximation of pi and an irrational number. 3.14 is greater than 5/7 and less than 9/11.

  • 3.142: Another approximation of pi and an irrational number. 3.142 is also greater than 5/7 and less than 9/11.

  • 3.1415: Yet another approximation of pi and an irrational number. 3.1415 is still greater than 5/7 and less than 9/11.



Conclusion

In conclusion, there are many different irrational numbers between any two rational numbers. We can use methods such as square roots or pi to find them. The three irrational numbers listed above are just a few examples of the many possibilities.
Community Answer
Write three different irrational numbers between the rational nubers5/...
5/7=0.71428571439/11=0.81.....Three irirational number are :-1. 0.720720072000...2. 0.730730073000..3. 0.740740074000..
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