Question

Find any 2 irrational numbers between 0.1 and 0.15 .please explain how to do

Answer 1

Hi There!

What are Irrational Numbers?

Irrational Numbers are those number whose decimal expansion non-terminating and non-repeating .

So, In order to find 2 irrationals between 0.1 and 0.15, some simple steps.

Between 0.1 and 0.15 , Choose any number.

Let's choose 0.11 which lies between them only.

Now to make it irrational , is very easy. We just have to give 0.11 a further non-repeating decimal expansion→

0.110010001000010000010000001.....

we got our first number.

Now for second choose one more number between 0.1 and 0.15

This time let's take 0.14

Therefore , again give it a non-repeating expansion→

0.146273372833829372926282637292......

Hence , we got our two irrationals between 0.1 and 0.15.
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