insert irrational between 2.324 and 2.412 please show the steps

TO DETERMINE

Insert irrational between 2.324 and 2.412

EVALUATION

We know that a Rational number is defined as a number of the form [tex] \displaystyle \sf{ \frac{p}{q} \: }[/tex]

Where p & q are integers with [tex]q \ne \: 0[/tex]

For example

[tex] \displaystyle \sf{2,- 1, \frac{1}{3} , – \frac{12}{23}} \: are \: the \: examples \: of \: rational \: numbers[/tex]

Now a number which is not rational is called irrational number

Here the given numbers are 2.324 and 2.412

Hence a irrational between 2.324 and 2.412 is

= 2.37299378921878321.....

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1. Write 18.777. . . in p/q form.

2. which is the following is a rational number between 4 and 8