Question

1. Racionalize os denominadores a seguir do 1°caso:
a) 2/√10=
b)6/√6=
c) 9/√3=
d) √5/√2

Answer 1

Resposta:

$a) \frac{2}{ \sqrt{10} } \times \frac{ \sqrt{10} }{ \sqrt{10} } = \frac{2 \sqrt{10} }{ \sqrt{100} } = \frac{2 \sqrt{10} }{10} = \frac{ \sqrt{10} }{5}$

$b) \frac{6}{ \sqrt{6} } \times \frac{ \sqrt{6} }{ \sqrt{6} } = \frac{6 \sqrt{6} }{ \sqrt{36} } = \frac{6 \sqrt{6} }{6} = \sqrt{6}$

$\frac{9}{ \sqrt{3} } \times \frac{ \sqrt{3} }{ \sqrt{3} } = \frac{9 \sqrt{3} }{ \sqrt{9} } = \frac{9 \sqrt{3} }{3} = 3 \sqrt{3}$

$d) \frac{ \sqrt{5} }{ \sqrt{2} } \times \frac{ \sqrt{2} }{ \sqrt{2} } = \frac{ \sqrt{10} }{ \sqrt{4} } = \frac{ \sqrt{10} }{2}$