Question

write an irrational number between two irrational numbers x and y​

Answer 1

Answer:

The easiest way to find the number of two rational numbers is to square both the irrational numbers and take the square root of their average. If the square root is irrational, then we get the number we want. If you do not the number you are looking for,  then repeat the procedure using one of the original numbers and the newly generated number.

Step-by-step explanation:

Let us take two irrational numbers x and y. To find the difference between axand y that is y – x, take n ∈ N and n > 1. Now, there exists some integer m between nx and ny. Then, \( \frac{m}{n} \) is an irrational number between x and y

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