Question

спростіть вираз
$\sqrt{10} - 10 \div \sqrt{2} - \sqrt{20}$
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Answer 1

$\frac{ \sqrt{10} - 10}{ \sqrt{2} - \sqrt{20} } = \frac{ \sqrt{10} - \sqrt{10} \times \sqrt{10} }{ \sqrt{2} - \sqrt{2} \times \sqrt{10} } = \frac{ \sqrt{10}(1 - \sqrt{10}) }{ \sqrt{2}(1 - \sqrt{10}) } = \frac{ \sqrt{10} }{ \sqrt{2} } = \sqrt{ \frac{10}{2} } = \sqrt{5}$