Score: 5/10 Penalty: none Question Express in simplest radical form. $$ -\sqrt{24}-\sqrt{150} $$

Question

UpStudy AI · Accepted Answer

We start with the expression:
$$
-\sqrt{24} - \sqrt{150}
$$

**Step 1: Simplify $$\sqrt{24}$$**
$$
\sqrt{24} = \sqrt{4 \times 6} = \sqrt{4}\sqrt{6} = 2\sqrt{6}
$$

**Step 2: Simplify $$\sqrt{150}$$**
$$
\sqrt{150} = \sqrt{25 \times 6} = \sqrt{25}\sqrt{6} = 5\sqrt{6}
$$

**Step 3: Substitute the simplified forms back into the expression**
$$
-\sqrt{24} - \sqrt{150} = -2\sqrt{6} - 5\sqrt{6}
$$

**Step 4: Combine like terms**
$$
-2\sqrt{6} - 5\sqrt{6} = -(2 + 5)\sqrt{6} = -7\sqrt{6}
$$

The expression in simplest radical form is:
$$
-7\sqrt{6}
$$
The expression simplifies to $$-7\sqrt{6}$$.

Score: 5/10 Penalty: none Question Express in simplest radical form. \[ -\sqrt{24}-\sqrt{150} \]