Question

resolva a expressão

Answer 1

Numerador:
$\sqrt{ \frac{9}{25} } = \frac{3}{5}$
$\sqrt{ \frac{36}{49} } = \frac{6}{7}$
$\frac{3}{5} + \frac{6}{7} = \frac{21 + 30}{35} = \frac{51}{35}$
Denominador:

$\sqrt{ \frac{25}{16} } = \frac{5}{4}$
$\sqrt{ \frac{1}{100} } = \frac{1}{10}$
$\frac{5}{4} - \frac{1}{10} = \frac{25 - 2}{20} = \frac{23}{20}$
Logo:

$\frac{ \frac{51}{35} }{ \frac{23}{20} } = \frac{51}{35} \times \frac{20}{23} = \frac{204}{161}$