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Simplify:$ 3 \sqrt{45}-\sqrt{125}+\sqrt{200}-\sqrt{50} $
Given:
\( 3 \sqrt{45}-\sqrt{125}+\sqrt{200}-\sqrt{50} \)
To do:
We have to simplify the given expression.
Solution:
$3 \sqrt{45}-\sqrt{125}+\sqrt{200}-\sqrt{50}=3 \sqrt{9\times5}-\sqrt{25\times5}+\sqrt{100\times2}-\sqrt{25\times2}$
$=3\times3\sqrt{5}-5\sqrt{5}+10\sqrt{2}-5\sqrt{2}$
$=9\sqrt{5}-5\sqrt{5}+5\sqrt{2}$
$=4\sqrt{5}+5\sqrt{2}$
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