Question

Racionalize o dominador das expressões seguintes:

a)
$\frac{3}{ \sqrt{6} }$
b)
$\frac{1}{2 \sqrt{2} }$
c)
$\frac{ \sqrt{3} }{ \sqrt{5} }$
d)
$\frac{3}{ \sqrt[3]{3} }$
e)
$\frac{4}{ \sqrt[5]{2 {}^{2} } }$
​

Answer 1

Resposta:

a)

3/√6 = 3*√6/(√6*√6)=3√6/√6²=3√6/6=√6/2

b)

1/2√2=√2/(2*√2*√2)=√2/2*2=√2/4

c)√3/√5=√3*√5/(√5*√5) =√15/5

d)

3/∛3=3/3^(1/3) =3*3^(2/3)/(3^(1/3)*3^(2/3) =3∛3²/3=∛9

e)

4/[2^(2/5)] = 4*2^(3/5) /[2^(2/5)*2^(3/5)=4*2^(3/5)/2

=2*2^(3/5) =2^(1+3/5) =2^(8/5)