Question

1 Calculați:
a)
$\sqrt{ \frac{49}{64} } + \sqrt{9} =$
b)
$\sqrt{4 } - \sqrt{ \frac{32}{50 } } =$

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Answer 1

Explicație pas cu pas:

$a) \sqrt{ \frac{49}{64} } + \sqrt{9} = \frac{7}{8} + 3 = \frac{7}{8} + \frac{3}{1} = \frac{7}{8} + \frac{3 \times 8}{1 \times 8} = \frac{7}{8} + \frac{24}{8} = \frac{7 + 24}{8} = \frac{31}{8} = 3 \frac{7}{8}$

$b) \sqrt{4} - \sqrt{ \frac{32}{50} } ^{(2} = 2 - \sqrt{ \frac{16}{25} } = 2 - \frac{ \sqrt{16} }{ \sqrt{25} } = 2 - \frac{4}{5} = \frac{2}{1} - \frac{4}{5} = \frac{2 \times 5}{1 \times 5} - \frac{4}{5} = \frac{10}{5} - \frac{4}{5} = \frac{10 - 4}{5} = \frac{6}{5} = 1 \frac{1}{5}$