Question

сравните значения выражений √19-√16 и √29-√26​

Answer 1

Ответ:

$\sqrt{19} -\sqrt{16} > \sqrt{29}-\sqrt{26}$

Объяснение:

$\sqrt{19} -\sqrt{16} ~~ u~~ \sqrt{29}-\sqrt{26} \\\\ \sqrt{19}+\sqrt{26} ~~ u~~\sqrt{16}+\sqrt{29} \\\\ (\sqrt{19}+\sqrt{26} )^2 ~~ u~~(\sqrt{16}+\sqrt{29})^2 \\\\ 19+2\sqrt{19\cdot 26} +26~~ u~~ 16+2\sqrt{16\cdot 29} +29 \\\\ 45+2\sqrt{494} ~~ u~~ 45+2\sqrt{464} \\\\ \sqrt{494} > \sqrt{464}$