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Question

Insert a rational number and an irrational number between 2 and 3.


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Solution

Step 1. Find a rational number between 2=1.414.. and 3=1.732...

Rational numbers have terminating or non terminating and repeating decimals.

The rational number between 2 and 3=1.58or158100

Step 2. Find an irrational number between 2=1.414.. and 3=1.732...

Irrational numbers are the numbers that do not terminate, nor do they repeat.

The irrational number between 2and 3=1.57887888...

Hence, 158100 is a rational number and 1.57887888... is an irrational number between 2 and 3.


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