Question

question
express in simplest radical form.
\\(\sqrt{24} + 6\sqrt{6}\\)

Explanation:

Step1: Simplify $\sqrt{24}$

Factor 24 into $4\times6$, so $\sqrt{24}=\sqrt{4\times6}$. Using the property $\sqrt{ab}=\sqrt{a}\times\sqrt{b}$ ($a\geq0,b\geq0$), we get $\sqrt{4\times6}=\sqrt{4}\times\sqrt{6}=2\sqrt{6}$.

Step2: Combine like terms

Now we have $2\sqrt{6}+6\sqrt{6}$. Since they are like terms (same radical part), we add the coefficients: $(2 + 6)\sqrt{6}=8\sqrt{6}$.

Answer:

$8\sqrt{6}$