Simplify the Equation Below, please show steps and teach me how to do it

Question

anonymous · Answer

$$-\sqrt{27}-3\sqrt{20}-2\sqrt{5}+3\sqrt{5}$$

anonymous · Answer

First change the numbers under the square roots to products of a square times something. So, 
$$-\sqrt{9x3}-3\sqrt{4x5}-2\sqrt{5}+3\sqrt{5}$$
Now, take the square roots of those square numbers and move them outside the radicand:

$$-3\sqrt{3}-3x2\sqrt{5}-2\sqrt{5}+3\sqrt{5}$$

Now simplify: 
$$-3\sqrt{3}-6\sqrt{5}-2\sqrt{5}+3\sqrt{5}$$

And combine like terms:

$$-3\sqrt{3}-5\sqrt{5}$$

There's your answer.

anonymous · Answer

Thanks