Question

какое из чисел больше ?
а) 5√3 и 6√2 б) 3√2 и √17 ​

Answer 1

$a)5 \sqrt{3} = \sqrt{5 {}^{2} \times 3 } = \sqrt{25 \times 3} = \sqrt{75} \\ 6 \sqrt{2} = \sqrt{6 {}^{2} \times 2 } = \sqrt{36 \times 2} = \sqrt{72} \\ 5 \sqrt{3} > 6 \sqrt{2} \\ \\ b)3 \sqrt{2} = \sqrt{3 {}^{2} \times 2 } = \sqrt{9 \times 2} = \sqrt{18} \\ \sqrt{17} = \sqrt{17} \\ 3 \sqrt{2} > \sqrt{17}$