Question

$\sqrt{ \frac{9}{16} } - \sqrt{ \frac{100}{121} } + \sqrt{ \frac{169}{121} }$
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Answer 1

Explicação passo-a-passo:

$\sqrt{ \frac{9}{16} } - \sqrt{ \frac{100}{121} } + \sqrt{ \frac{169}{121} }$

$\frac{ \sqrt{9} }{ \sqrt{16} } - \frac{ \sqrt{100} }{ \sqrt{121} } + \frac{ \sqrt{169} }{ \sqrt{121} }$

$\frac{3}{4} - \frac{10}{11} + \frac{13}{11}$

mmc(4,11,11) = 44

$\frac{44 \div 4 \times 3}{44} - \frac{44 \div 11 \times 10}{44} + \frac{44 \div 11 \times 13}{44}$

$\frac{11 \times 3}{44} - \frac{4 \times 10}{44} + \frac{4 \times 13}{44}$

$\frac{33}{44} - \frac{40}{44} + \frac{52}{44}$

$\frac{33 - 40 + 52}{44}$

$= \frac{45}{44}$