Question Express in simplest radical form. $$ -\sqrt{6}+4 \sqrt{6} $$

Question

UpStudy AI · Accepted Answer

We start with the expression:
$$
-\sqrt{6} + 4\sqrt{6}
$$

Since both terms involve the same radical $$\sqrt{6}$$, we can combine them by adding their coefficients.

$$
-\sqrt{6} \text{ has a coefficient of } -1, \quad 4\sqrt{6} \text{ has a coefficient of } 4.
$$

Adding the coefficients:
$$
-1 + 4 = 3.
$$

Thus, combining the terms gives:
$$
3\sqrt{6}.
$$

So, the simplest radical form of the expression is:
$$
\boxed{3\sqrt{6}}.
$$
The simplest radical form of the expression is $$3\sqrt{6}$$.

Question Express in simplest radical form. \[ -\sqrt{6}+4 \sqrt{6} \]