Question

express in simplest radical form.
$5\sqrt{3} - \sqrt{3}$

Explanation:

Step1: Identify like radicals

Both terms have $\sqrt{3}$ as the radical part, so we can combine them using the distributive property (reverse of factoring). The expression is $5\sqrt{3} - 1\sqrt{3}$.

Step2: Combine coefficients

Subtract the coefficients of the like radicals: $(5 - 1)\sqrt{3} = 4\sqrt{3}$.

Answer:

$4\sqrt{3}$