Question

Find two irrational numbers between 0.1 and 0.12. Please Explain. rn

Answer 1

Given:

The numbers 0.1 and 0.12.

To find:

Find two irrational numbers between 0.1 and 0.12.

Solution:

From given, we have,

The numbers 0.1 and 0.12.

An irrational number can be found by taking the square root of the product of given numbers

√xy,  

now substitute x = 0.1, y = 0.12

√xy = √(0.1 × 0.12)

= √0.012

= 0.109

0.1 < 0.109 < 0.12

now again substitute x = 0.1 and y = 0.109

√xy = √(0.1 × 0.109)

= √0.0109

= 0.104

0.1 < 0.104 < 0.109 < 0.12

Therefore, two irrational numbers between 0.1 and 0.12 are 0.109 ad 0.104

Answer 2

Answer:

Answer

0.1 and 0.12 are two rational Numbers which are also terminating decimals.

We know that,

Irrationals are non-terminating and non-recurring decimals.

We can write irrational Number as →

or

0.1102002000200002

Therefore, 0.1010010001.... and 0.11010010001.... are two irrationals between 0.1 and 0.12