What is -2 sqrt 20 - sqrt 125 in simplest radical form?

1 answer:

8 0

$-2\sqrt{20}-\sqrt{125}=-2\sqrt{4\cdot5}-\sqrt{25\cdot5}\\\\\text{use}\ \sqrt{ab}=\sqrt{a}\cdot\sqrt{b}\ \text{for}\ a\geq0\ \wedge\ b\geq0\\\\=-2\sqrt4\cdot\sqrt5-\sqrt{25}\cdot\sqrt5=-2(2)\sqrt5-5\sqrt5\\\\=-4\sqrt5-5\sqrt5=(-4-5)\sqrt5=\boxed{-9\sqrt5}$

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