2 câu trả lời
1) `(\sqrt{18}+\sqrt{32}-\sqrt{50}).\sqrt{2}`
`=(\sqrt{9.2}+\sqrt{16.2}-\sqrt{25.2}).\sqrt{2}`
`=(3\sqrt{2}+4\sqrt{2}-5\sqrt{2}).\sqrt{2}`
`=2\sqrt{2}.\sqrt{2}`
`=2.2`
`=4`
2) `(15\sqrt{50}+5\sqrt{200}-3\sqrt{450}):\sqrt{10}`
`=(15\sqrt{25.2}+5\sqrt{100.2}-3\sqrt{225.2}):\sqrt{10}`
`=(75\sqrt{2}+50\sqrt{2}-45\sqrt{10}):\sqrt{10}`
`=80\sqrt{2}:\sqrt{10}`
`=(80\sqrt{2})/(\sqrt{10})`
`=(80)/(\sqrt{5})`
`=(80\sqrt{5})/5`
`=16\sqrt{5}`
$\textit{Đáp án + Giải thích các bước giải:}$
$1,(\sqrt{18}+\sqrt{32}-\sqrt{50}).\sqrt{2}$
$=\sqrt{18}.\sqrt{2}+\sqrt{32}.\sqrt{2}-\sqrt{50}.\sqrt{2}$
$=\sqrt{36}+\sqrt{64}+\sqrt{100}$
$=6+8-10$
$=4$
$2,(15\sqrt{50}+5\sqrt{200}-3\sqrt{450}):\sqrt{10}$
$=15\sqrt{50}:\sqrt{10}+5\sqrt{200}:\sqrt{10}-3\sqrt{450}:\sqrt{10}$
$=15\sqrt{5}+5\sqrt{20}-3\sqrt{45}$
$=15\sqrt{5}+5\sqrt{5}.\sqrt{4}-3\sqrt{5}.\sqrt{9}$
$=15\sqrt{5}+5.2\sqrt{5}-3.3\sqrt{5}$
$=15\sqrt{5}+10\sqrt{5}-9\sqrt{5}$
$=\sqrt{5}(15+10-9)$
$=16\sqrt{5}$