Question
Simplify:$3\sqrt{45}-\sqrt{125}+\sqrt{200}-\sqrt{50}$
✓
Answer
$3\sqrt{45}-\sqrt{125}+\sqrt{200}-\sqrt{50}$$3\sqrt{9\times5}-\sqrt{25\times5}+\sqrt{100\times2}-\sqrt{25\times2}$
$=3\times3\sqrt{5}-5\sqrt{5}+10\sqrt{2}-5\sqrt{2}$
$=9\sqrt{5}-5\sqrt{5}+10\sqrt{2}-5\sqrt{2}$
$=4\sqrt{5}+5\sqrt{2}$
$=3\times3\sqrt{5}-5\sqrt{5}+10\sqrt{2}-5\sqrt{2}$
$=9\sqrt{5}-5\sqrt{5}+10\sqrt{2}-5\sqrt{2}$
$=4\sqrt{5}+5\sqrt{2}$
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