Question

сравните числа 8 √ 20 и 5 √ 300

Answer 1

$8 \sqrt{20} < 5 \sqrt{300} \\ \sqrt{8 {}^{2} \times 20} = \sqrt{1280} \\ \sqrt{5 {}^{2} \times 300 } = \sqrt{7500}$

Answer 2

$\displaystyle\bf\\8\sqrt{20} =\sqrt{8^{2} \cdot20} =\sqrt{64\cdot20}=\sqrt{1280} \\\\5\sqrt{300} =\sqrt{5^{2} \cdot300} =\sqrt{25\cdot300} =\sqrt{7500} \\\\\sqrt{1280} <\sqrt{7500} \\\\8\sqrt{20} <5\sqrt{300}$