Question

Racionalize os denominadores:

$\frac{1}{3\sqrt{2}+1}$

$\frac{\sqrt{2}}{\sqrt{2} -1}$

Answer 1

$\frac{1}{3 \sqrt{2}+1 }.\frac{3 \sqrt{2}-1}{3 \sqrt{2}-1}=\frac{3 \sqrt{2}-1}{17}$

$\frac{ \sqrt{2} }{ \sqrt{2}-1 }.\frac{ \sqrt{2}+1 }{\sqrt{2}+1}=\frac{2+ \sqrt{2} }{1}=2+ \sqrt{2}$