Question

Racionalize os denominadores e reduza cada expressao a sua forma mais reduzida

A] 6
√3

B]√6
√3

C] 3
2√3

D] 5
∛3

Answer 1

a)6/raiz3=
6.raiz3/raiz9=
6raiz3/3=
2raiz3/1

b)raiz6.raiz3/3=
raiz18/3

c)3.2raiz3/4.3=
6raiz3/12=
raiz3/2

d)5.raiz cubica3²/3

Answer 2

a)
$\frac{6}{ \sqrt{3} } = \frac{6 \sqrt{3} }{ \sqrt{3}. \sqrt{3} } = \frac{6 \sqrt{3} }{ \sqrt{3^2} } = \frac{6 \sqrt{3} }{3} =2 \sqrt{3}$

b)
$\frac{ \sqrt{6} }{ \sqrt{3} } = \frac{ \sqrt{6}. \sqrt{3} }{ \sqrt{3} . \sqrt{3} } = \frac{ \sqrt{18} }{ \sqrt{3^2} } = \frac{ \sqrt{2.3^2} }{3} = \frac{3 \sqrt{2} }{3} = \sqrt{2}$

c)
$\frac{3}{2 \sqrt{3} } = \frac{3 \sqrt{3} }{2. \sqrt{3} \sqrt{3} } = \frac{3 \sqrt{3} }{2. \sqrt{3^2} } = \frac{\not3 \sqrt{3} }{2.\not3} = \frac{ \sqrt{3} }{2}$

d)
$\frac{5}{ \sqrt[3]{3} } = \frac{5 \sqrt[3]{3^2} }{ \sqrt[3]{3}. \sqrt[3]{3^2} } = \frac{5 \sqrt[3]{3^2} }{ \sqrt[3]{3^3} } = \frac{5 \sqrt[3]{9} }{3}$