Question

Find irrational numbers between two rational numbers

Answer 1

HEY MATE HERE is THE ANSWER

Irrational number between 2 rational numbers =

$\sqrt{ab}$

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Answer 2

Answer:

Hi !

For suppose, we took 2 rational numbers 2 and 3.

Irrational numbers between 2 and 3:

Powers of 2 are 2,4,8,16,32.

and powers of 3 are 3,9,27,81,243.

Hence,

$\sqrt{7} \: and \: \sqrt[3]{17} \: and \: \sqrt[4]{54} \: and \: \sqrt[5]{178} \\ are \: all \: irrational \: numbers \: between \: 2 \:, \: 3.$

as

$4 < 7 < 9... \\ 8 < 17 < 27 \\ 16 < 54 < 81 \: \: \: and \: \\ 32 < 178 < 243.$

Hope my answer helpful to you ❣️