Question

calculați radicale.
$\sqrt{1.1(3) = }$
$\sqrt{12.25 = }$
$\sqrt{0.49 = }$
$\sqrt{2.1(6) = }$
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Answer 1

Răspuns:

$\sqrt{ 1.1(3) } = \sqrt{ \frac{113 - 11}{90} } = \sqrt{ \frac{102}{90} } = \sqrt{ \frac{34}{30} } = \sqrt { \frac{17}{15} } = \frac{ \sqrt{17} }{ \sqrt{15} } = \frac{ \sqrt{17} \times \sqrt{15} }{15} = \frac{ \sqrt{255} }{15}$

$\sqrt{12.25} = \sqrt{ \frac{1225}{100} } = \frac{ \sqrt{1225} }{ \sqrt{100} } = \frac{35}{10} = \frac{7}{2}$

$\sqrt{0.49} = \sqrt{ \frac{49}{100} } = \frac{ \sqrt{49} }{ \sqrt{100} } = \frac{7}{10}$

$\sqrt{2.1(6)} = \sqrt{ \frac{216 - 21}{90} } = \sqrt{ \frac{195}{90} } = \sqrt{ \frac{39}{18} } = \sqrt{ \frac{13}{6} } = \frac{ \sqrt{13} }{ \sqrt{6} } = \frac{ \sqrt{13} \times \sqrt{6} }{6} = \frac{ \sqrt{78} }{6}$