Question

amoresss, algm pode me ajudar nesta questao? é muito complicada :3​

Answer 1

Olá!

a)

$\frac{8}{ \sqrt{3} } \times \frac{ \sqrt{3} }{ \sqrt{3} } = \frac{8 \sqrt{3} }{3}$

b)

$\frac{2}{ \sqrt{5} } \times \frac{ \sqrt{5} }{ \sqrt{5} } = \frac{2 \sqrt{5} }{5}$

c)

$\frac{7}{ \sqrt{2} } \times \frac{ \sqrt{2} }{ \sqrt{2} } = \frac{7 \sqrt{2} }{2}$

d)

$\frac{ \sqrt{3} }{ \sqrt{2} } \times \frac{ \sqrt{2} }{ \sqrt{2} } = \frac{ \sqrt{3} \times \sqrt{2} }{2}$

e)

$\frac{ \sqrt{8} }{ \sqrt{3} } \times \frac{ \sqrt{3} }{ \sqrt{3} } = \frac{2 \sqrt{2} \times \sqrt{3} }{3}$

f)

$\frac{2}{ \sqrt{10} } \times \frac{ \sqrt{10} }{ \sqrt{10} } = \frac{2 \sqrt{10} }{10} = \frac{ \sqrt{10} }{5}$

g)

$\frac{ \sqrt{3} }{ \sqrt{7} } \times \frac{ \sqrt{7} }{ \sqrt{7} } = \frac{ \sqrt{3} \times \sqrt{7} }{7}$

h)

$\frac{15}{ \sqrt{3} } \times \frac{ \sqrt{3} }{ \sqrt{3} } = \frac{15 \sqrt{3} }{3} = 5 \sqrt{3}$

i)

$\frac{ \sqrt{2} }{ \sqrt{3} } \times \frac{ \sqrt{3} }{ \sqrt{3} } = \frac{ \sqrt{2} \times \sqrt{3} }{3}$

j)

$\frac{5}{2 \sqrt{3} } \times \frac{2 \sqrt{3} }{2 \sqrt{3} } = \frac{10 \sqrt{3} }{4 \times 3} = \frac{5 \sqrt{3} }{6}$

k)

$\frac{8}{3 \sqrt{2} } \times \frac{3 \sqrt{2} }{3 \sqrt{2} } = \frac{24 \sqrt{2} }{18} = \frac{4 \sqrt{2} }{3}$

l)

$\frac{ \sqrt{7} }{2 \sqrt{3} } \times \frac{2 \sqrt{3} }{2 \sqrt{3} } = \frac{2 \sqrt{3} \times \sqrt{7} }{12} = \frac{ \sqrt{3} \times \sqrt{7} }{6}$

Bons estudos.