Finds two irrational number between 2 and 3.

Given: The numbers given are 2 and 3

To do: Find two irrational number between the numbers

Solution:

Multiplying 2 and 3 and taking out their square root

$\sqrt{2\times3}=\sqrt{6}$

So, $\sqrt{6}$ is one number between 2 and 3 

Now again taking square root of $\sqrt{6}$ and 3 and multiplying them to find one more number

$\sqrt{\sqrt{6}\times3}$

Therefore the two number between 2 and 3 is;
$\sqrt{6}$ and $\sqrt{\sqrt{6}\times3}$

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Updated on: 10-Oct-2022

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