Question

$\frac{ \sqrt{6} - \sqrt{10} }{ \sqrt{3 - \sqrt{5} } }$
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Answer 1

Salutare! ( materia: matematică )

$\frac{ \sqrt{6} - \sqrt{10} }{ \sqrt{3} - \sqrt{5} }$

$\frac{ \sqrt{6} - \sqrt{10} }{ \sqrt{3} - \sqrt{5} } \times \frac{ \sqrt{3} + \sqrt{5} }{ \sqrt{3} + \sqrt{5} }$

$\frac{ (\sqrt{6} - \sqrt{10}) \times ( \sqrt{3 } + \sqrt{5}) }{ (\sqrt{3} - \sqrt{5}) \times ( \sqrt{3} + \sqrt{5}) }$

$\frac{ \sqrt{18} + \sqrt{30} - \sqrt{30} - \sqrt{50} }{3 - 5}$

$\frac{ 3 \sqrt{2} - 5 \sqrt{2} }{ - 2}$

$\frac{ - 2 \sqrt{2} }{ - 2}$

$\sqrt{2}$

Răspuns final: Radical din 2