Question

Nesecito ayuda en esta tarea​

Answer 1

Respuesta:

$\sqrt{ \frac{121}{100} } \times \frac{10}{8} + \frac{3}{5} \div \frac{4}{10} = \frac{ \sqrt{121} }{ \sqrt{100}} \times \frac{10}{8} + \frac{3}{5} \times \frac{10}{4} = \frac{11}{10} \times \frac{10}{8} + \frac{3 \times 10}{5 \times 4} = \frac{11 \times 10}{10 \times 8} + \frac{30}{20} = \frac{110}{80} + \frac{30}{20} = \frac{110 + 120}{80} = \frac{230}{80} = \frac{23}{8}$

$( \frac{2}{5} + 1) + ( \frac{3}{5} \div \frac{4}{10} ) = ( \frac{2}{5} + \frac{1}{1} ) + ( \frac{3}{5} \times \frac{10}{4} ) = ( \frac{2 + 5}{5} ) + ( \frac{3 \times 10}{5 + 4} ) = ( \frac{7}{5} ) + ( \frac{30}{20} ) = \frac{7}{5} + \frac{30}{20} = \frac{28 + 30}{20} = \frac{58}{20} = \frac{29}{10}$

$\sqrt[3]{ \frac{512}{27} } \times \frac{7}{8} - \frac{2}{5} \div \frac{6}{10} = \frac{ \sqrt[3]{512} }{ \sqrt[3]{27} } \times \frac{7}{8} - \frac{2}{5} \times \frac{10}{6} = \frac{8}{3} \times \frac{7}{8} - \frac{2 \times 10}{5 \times 6} = \frac{8 \times 7}{3 \times 8} - \frac{20}{30} = \frac{56}{24} - \frac{20}{30} = \frac{280 - 80}{120} = \frac{200}{120} = \frac{5}{3}$

$( \frac{1}{2} + \frac{2}{5} ) {}^{2} + \frac{3}{5} \times \frac{3}{2} + \frac{4}{5} \div \sqrt{ \frac{16}{4} } = ( \frac{5 + 4}{10} ) {}^{2} + \frac{3 \times 3}{5 \times 2} + \frac{4}{5} \div \frac{ \sqrt{16} }{ \sqrt{4} } = ( \frac{9}{10} ) {}^{2} + \frac{9}{10} + \frac{4}{5} \div \frac{4}{2} = \frac{ {9}^{2} }{ {10}^{2} } + \frac{9}{10} + \frac{4}{5} \times \frac{2}{4} = \frac{81}{100} + \frac{9}{10} + \frac{4 \times 2}{5 \times 4} = \frac{81 + 90}{100} + \frac{8}{20} = \frac{171}{100} + \frac{8}{20} = \frac{171 + 40}{100} = \frac{211}{100}$