Question

ajudá por favo e pra amanha

Answer 1

(a)
$\frac{ \sqrt{50} }{ \sqrt{18} } = \frac{ \sqrt{25 \times 2} }{ \sqrt{9 \times 2} } = \frac{5 \sqrt{2} }{3 \sqrt{2} } = \frac{5}{3}$
(b)
$\frac{ \sqrt{5} }{ \sqrt{0,05} } = \frac{ \sqrt{5} }{ \sqrt{ \frac{5}{100} } } = \frac{ \sqrt{5} }{ \frac{ \sqrt{5} }{10} } = \sqrt{5} \times \frac{10}{ \sqrt{5} } = 10$
(c)
$\frac{ \sqrt{0,64 \times {10}^{10}} }{ \sqrt{{10}^{-8}} } = \frac{ \sqrt{64 \times {10}^{-2} \times {10}^{10}} }{ \sqrt{\frac{1}{{10}^{8}}} } = \\ \frac{8 \sqrt{ {10}^{8}}}{ \frac{1}{ \sqrt{{10}^{8}} }} = 8 \sqrt{ {10}^{8} } \times \frac{ 1 }{ \sqrt{ {10}^{8} }} } = 8$

(d)
$\frac{ \sqrt{2,56 \times {10}^{8} } }{ \sqrt{4 \times {10}^{4} } } = \frac{ \sqrt{256 \times {10}^{ - 2} \times {10}^{8} } }{ 2 \times {10}^{2} } = \\ \frac{16 \sqrt{ {10}^{6} } }{2 \times {10}^{2} } = \frac{8 \times {10}^{3} }{{10}^{2} } = 8 \times 10 = 80$