Question

$<var>(\sqrt3 + \sqrt2)(\sqrt3 - \sqrt2)</var>$

Answer 1

$<var>(\sqrt{3} + \sqrt{2})(\sqrt{3} - \sqrt{2})</var>$

 

$<var> 3 - \sqrt{6} + \sqrt{6} - 2</var>$

 

Resultado final fica:

 

$<var>\boxed{1}</var>$

Answer 2

$<var>(\sqrt{3} + \sqrt{2}) \cdot (\sqrt{3} - \sqrt{2}) \\ (\sqrt{3} \cdot \sqrt{3}) - (\sqrt{3} \cdot \sqrt{2}) + (\sqrt{2} \cdot \sqrt{3}) - (\sqrt{2} \cdot \sqrt{2}) \\ \sqrt{9} - \sqrt{6} + \sqrt{6} - \sqrt{4} \\\\ \underline{\sqrt{6} \ positiva \ com \ \sqrt{6} \ negativa \ se \ anulam} \\\\ \sqrt{9} - \sqrt{4} \\ \boxed{3 - 2 = \boxed{1}}</var>$