State, whether the following numbers is rational or not : ( 3 - 2… - Vidyadip

Question

State, whether the following numbers is rational or not : $( \sqrt3 - \sqrt2 )^2$

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Answer

$( \sqrt3 - \sqrt2 )^2$
$= ( \sqrt3 )^2- 2 ( \sqrt3 )( \sqrt2 ) + ( \sqrt2 )^2$
$= 3 - 2\sqrt6 + 2$
$= 5 - 2\sqrt6$
Irrational Number

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