Question

preciso de ajuda para racionalizar o denominador das fraçoes

Answer 1

A)
$\frac{3}{ \sqrt{2} } = \frac{3}{ \sqrt{2} } \times \frac{ \sqrt{2} }{ \sqrt{2} } = \frac{3 \sqrt{2} }{ \sqrt{4} } = \frac{3 \sqrt{2} }{2}$
B)
$\frac{1}{ \sqrt{5} } = \frac{1}{ \sqrt{5} } \times \frac{ \sqrt{5} }{ \sqrt{5} } = \frac{5 \sqrt{5} }{ \sqrt{25} } = \frac{ \sqrt{5} }{5}$
C)
$\frac{5}{ \sqrt{14} } = \frac{5}{ \sqrt{14} } \times \frac{ \sqrt{14} }{ \sqrt{14} } = \frac{5 \sqrt{14} }{ \sqrt{196} } = \frac{5 \sqrt{14} }{14}$
D)
$\frac{12}{ \sqrt{6} } = \frac{12}{ \sqrt{6} } \times \frac{ \sqrt{6} }{ \sqrt{6} } = \frac{12 \sqrt{6} }{ \sqrt{36} } = \frac{12 \sqrt{6} }{6}$
E)
$\frac{ \sqrt{12} }{ \sqrt{7} } = \frac{ \sqrt{12} }{ \sqrt{7} } \times \frac{ \sqrt{7} }{ \sqrt{7} } = \frac{ \sqrt{84} }{ \sqrt{49} } = \frac{ \sqrt{84} }{7}$
F)
$\sqrt{ \frac{3}{8} } = \frac{ \sqrt{3} }{ \sqrt{8} } = \frac{ \sqrt{3} }{ \sqrt{8} } \times \frac{ \sqrt{8} }{ \sqrt{8} } = \frac{ \sqrt{24} }{ \sqrt{64} } = \frac{ \sqrt{24} }{8}$