Question

Me ajudem

1-Racionalize
A)8/√3
B)2/√5
C)7/√2
D)√3/√2
E)√8√3

Rápido me ajudem

Answer 1

Resposta:

A)

$\dfrac{8}{ \sqrt{3} } \times \dfrac{ \sqrt{3} }{ \sqrt{3} } = \\ \\ \dfrac{8 \sqrt{3} }{ \sqrt{3 \times 3} } \\ \\ \dfrac{8 \sqrt{3} }{ \sqrt{9} } \\ \\ \pink{\dfrac{8 \sqrt{3} }{3} }$

B)

$\dfrac{2}{ \sqrt{5} } \times \dfrac{ \sqrt{5} }{ \sqrt{5} } = \\ \\ \frac{2 \sqrt{5} }{ \sqrt{5 \times 5} } \\ \\ \dfrac{2 \sqrt{5} }{ \sqrt{25} } \\ \\ \pink{ \dfrac{2 \sqrt{5} }{5} }$

C)

$\dfrac{7}{ \sqrt{2} } \times \dfrac{ \sqrt{2} }{ \sqrt{2} } = \\ \\ \frac{7 \sqrt{2} }{ \sqrt{2 \times 2} } \\ \\ \dfrac{7 \sqrt{2} }{ \sqrt{4} } \\ \\ \pink{\dfrac{7 \sqrt{2} }{2} }$

D)

$\dfrac{ \sqrt{3} }{ \sqrt{2} } \times \frac{ \sqrt{2} }{ \sqrt{2} } = \\ \\ \dfrac{ \sqrt{3 \times 2} }{ \sqrt{2 \times 2} } \\ \\ \dfrac{ \sqrt{6} }{ \sqrt{4} } \\ \\ \pink{ \dfrac{ \sqrt{6} }{2} }$

E)

$\dfrac{ \sqrt{8} }{ \sqrt{3} } \times \dfrac{ \sqrt{3} }{ \sqrt{3} } = \\ \\ \dfrac{ \sqrt{8 \times 3} }{ \sqrt{3 \times 3} } \\ \\ \dfrac{ \sqrt{24} }{ \sqrt{9} } \\ \\ \dfrac{ \sqrt{4 \times 6} }{3} \\ \\ \dfrac{ \sqrt{4} \times \sqrt{6} }{3} \\ \\ \pink{ \dfrac{2 \sqrt{6} }{3} }$

Bons Estudos!