Question

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

Answer 1

\[-\sqrt{27}-3\sqrt{20}-2\sqrt{5}+3\sqrt{5}\]

Answer 2

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.

Answer 3

Thanks