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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Updated on: 10-Oct-2022

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