[tex]\frac{3}{3 + \sqrt{2}}[/tex]
= [tex]\frac{3}{3 + \sqrt{2}} × \frac{3 - \sqrt{2}}{3 - \sqrt{2}} [/tex]
= [tex]\frac{3(3- \sqrt{2})}{3+ \sqrt{2}(3 - \sqrt{2})}[/tex]
= [tex]\frac{9 - 3 \sqrt{2}}{(9 - 2)}[/tex]
= [tex]\bf \frac{9 - 3 \sqrt{2}}{7}[/tex] (A.)
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[tex]\frac{3}{3 + \sqrt{2}}[/tex]
= [tex]\frac{3}{3 + \sqrt{2}} × \frac{3 - \sqrt{2}}{3 - \sqrt{2}} [/tex]
= [tex]\frac{3(3- \sqrt{2})}{3+ \sqrt{2}(3 - \sqrt{2})}[/tex]
= [tex]\frac{9 - 3 \sqrt{2}}{(9 - 2)}[/tex]
= [tex]\bf \frac{9 - 3 \sqrt{2}}{7}[/tex] (A.)