Question

me ajude por favor e pra entregar dia 20/05/2021​

Answer 1

Explicação passo-a-passo:

A)

$2 - \sqrt{ \frac{16}{81} } \\ 2 - \frac{ \sqrt{16} }{ \sqrt{81} } \\ 2 - \frac{4}{9 } \\ \frac{18 - 4}{9} \\ \\ \frac{14}{9}$

B)

$\frac{1}{2} + \frac{2}{3} \times \sqrt{ \frac{9}{16} } \\ \\ \frac{1}{2} + \frac{2}{3} \times \frac{ \sqrt{9} }{ \sqrt{16} } \\ \\ \frac{1}{2} + \frac{2}{3} \times \frac{3}{4} \\ \\ \frac{1}{2} + \frac{6}{12} \\ \\ \frac{6 + 6}{12} \\ \\ \frac{12}{12} = 1$

C)

$1 - \frac{2}{3} \times \sqrt{ \frac{4}{9} } \\ \\ 1 - \frac{2}{3} \times \frac{ \sqrt{4} }{ \sqrt{9} } \\ \\ 1 - \frac{2}{3} \times \frac{2}{3} \\ \\ 1 - \frac{4}{9} \\ \\ \frac{9 - 4}{9} \\ \\ \frac{5}{9}$

D)

$\sqrt{ \frac{25}{16} } \times ( \frac{2}{3} + \sqrt{ \frac{4}{9}) } \\ \\ \sqrt{ \frac{25}{16} } \times ( \frac{2}{3} + \frac{ \sqrt{4} }{ \sqrt{9} } ) \\ \\ \sqrt{ \frac{25}{16} } \times ( \frac{2}{3} + \frac{2}{3} ) \\ \\ \sqrt{ \frac{25}{16} } \times ( \frac{2 + 2}{3} ) \\ \\ \sqrt{ \frac{25}{16} } \times \frac{4}{3} \\ \\ \frac{ \sqrt{25} }{ \sqrt{16} } \times \frac{4}{3} \\ \\ \frac{5}{4} \times \frac{4}{3} = \frac{20}{12} = \frac{10}{6} = \frac{5}{3}$