Question

simplify. - 2\sqrt{27}-\sqrt{75}

Explanation:

Step1: Simplify square - roots

First, simplify $\sqrt{27}=\sqrt{9\times3}=3\sqrt{3}$ and $\sqrt{75}=\sqrt{25\times3}=5\sqrt{3}$. So the expression becomes $- 2\times3\sqrt{3}-5\sqrt{3}$.

Step2: Perform multiplication

$-2\times3\sqrt{3}=-6\sqrt{3}$, and the expression is now $-6\sqrt{3}-5\sqrt{3}$.

Step3: Combine like - terms

Combining the two terms with $\sqrt{3}$, we get $(-6 - 5)\sqrt{3}=-11\sqrt{3}$.

Answer:

$-11\sqrt{3}$