5
8. Find three different irrational numbers between the rational numbers 5/7 and 9/11​

5
8. Find three different irrational numbers between the rational numbers 5/7 and 9/11​

About the author
Isabelle

2 thoughts on “5<br />8. Find three different irrational numbers between the rational numbers 5/7 and 9/11​”

  1. To find:

    ✠ Three different irrational numbers between the rational numbers 5/7 and 9/11.

    Solution:

    Let’s first understand what are irrational numbers!

    • The square roots, cube roots, etc of natural numbers are irrational numbers, if their exact values cannot be expressed.
    • A non-terminating and non-recurring decimal is an irrational number.
    • The number pi ( π ) is an irrational number because we get its approximate value and not exact value.
    • Irrational number cannot be represented in the form of p/q, where p and q are integers and q is not equal to zero ( q ≠ 0 ).

    Let’s find out the three different irrational numbers now…✧

    First we will convert the fraction of rational numbers into the the decimal type, we have

    ➛ 5/7 = 0.71428571…

    ➛ 9/11 = 0.81818181…

    The three irrational numbers are:

    ➤ 0.72674549…

    ➤ 0.738454755…

    ➤ 0.7485635485…

    ( You can take any irrational number which lie between 0.71428571 and 0.81818181 )

    N.B Each of the decimal of the type as given above is neither terminating or non terminating ( recurring ) number.

    _______________________________

    Reply

Leave a Comment