Question

$( \sqrt{3 } - \sqrt{2} )( \sqrt{3} - \sqrt{2} )$
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Answer 1

$( \sqrt{3 } - \sqrt{2} )( \sqrt{3} - \sqrt{2} ) \\ ( \sqrt{3 } - \sqrt{2} )^2 \\ \sqrt{3 }^2+\sqrt{2} -2(\sqrt{3 })(\sqrt{2}) \\ 3+2-2\sqrt{6} \\ 5-2\sqrt{6}$

Answer 2

$\huge \purple{Question \ : }$

$( \sqrt{3} - \sqrt{2} )( \sqrt{3} - \sqrt{2} )$

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$(a - b)(a - b) = {(a - b)}^{2}$

${(a - b)}^{2} = {a}^{2} + {b}^{2} - 2ab$

$\huge \pink{ \fbox{Answer:}}$

$( \sqrt{3} - \sqrt{2} )( \sqrt{3} - \sqrt{2} )$

$= {( \sqrt{3} - \sqrt{2}) }^{2}$

$= {( \sqrt{3} )}^{2} + ( \sqrt{2} ) {}^{2} - 2( \sqrt{3} )( \sqrt{2} )$

$= 3 + 2 - 2( \sqrt{6} )$

$\green{= 5 - 2 \sqrt{6} }$