Question

Calcule o valor de cada expressão

Answer 1

Explicação passo-a-passo:

$a) \: \sqrt{ \frac{ \sqrt{1296} }{16} } = \sqrt{ \frac{36}{16} } = \sqrt{2.25} = 1.5 \\ \sqrt{ \frac{256}{4} } = \sqrt{64} = 8 \\ \\ 1.5 + 8 = 9.5$

$3 \times \sqrt{ \frac{1}{9} } + 2 \times \sqrt[3]{ \frac{1}{27} } + 3 \times \sqrt[4]{ \frac{1}{81} } = \\ \\ (3 \times \frac{1}{3}) + (2 \times \frac{1}{3} ) +( 3 \times \frac{1}{3} ) = \\ \\ 1 + \frac{2}{3} + 1 = \\ 2 + \frac{2}{3} = \frac{6 + 2}{3} = \frac{8}{3}$

$\frac{2 \sqrt{81} + 3 \sqrt{144} }{2 \sqrt{64} - 3 \sqrt[3]{27} - \sqrt[3]{1} } \\ \\ \frac{(2 \times 9) + (3 \times 12)}{(2 \times 8) - (3 \times 3) - 1} \\ \\ \frac{18 + 36}{16 - 9 - 1} = \\ \\ \frac{54}{6} = 9$