Question

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

Answer 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.

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