Question

Racionalize os denominadores das expressões:

Answer 1

$\frac{2}{ \sqrt{5} } = \frac{2. \sqrt{5} }{ \sqrt{5} \sqrt{5} } = \frac{2 \sqrt{5} }{5} \\ \\ \frac{1}{2 \sqrt{3} } = \frac{ \sqrt{3} }{2 \sqrt{3} \sqrt{3} } = \frac{ \sqrt{3} }{6} \\ \\ \frac{5}{6 \sqrt{2} } = \frac{5 \sqrt{2} }{6 \sqrt{2} \sqrt{2} } = \frac{5 \sqrt{2} }{12} \\ \\ \frac{ \sqrt{2} }{3 \sqrt{7} } = \frac{ \sqrt{2} \sqrt{7} }{3 \sqrt{7} \sqrt{7} } = \frac{ \sqrt{14} }{21} \\ \\ \frac{1}{5- \sqrt{2} }= \frac{5+ \sqrt{2} }{(5- \sqrt{2})(5+ \sqrt{2}) }$

$\frac{5+ \sqrt{2} }{25+5 \sqrt{2} -5 \sqrt{2} -2} = \frac{5+ \sqrt{2} }{25-2} = \frac{5+ \sqrt{2} }{23}$