Question

Simplify: $3\sqrt{45}-\sqrt{125}+\sqrt{200}-\sqrt{50}$

Answer 1

Consider the given expression.

$\Rightarrow 3\sqrt{45}-\sqrt{125}+\sqrt{200}-\sqrt{50}$

$\Rightarrow 3\sqrt{3\times 3\times 5}-\sqrt{5\times 5\times 5}+\sqrt{2\times 2\times 2\times 5\times 5}-\sqrt{2\times 5\times 5}$

$\Rightarrow 9\sqrt{5}-5\sqrt{5}+10\sqrt{2}-5\sqrt{2}$

$\Rightarrow 4\sqrt{5}+5\sqrt{2}$

Hence, this is the required result.