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$\newcommand{\amp}{&}$

Simplify $2\sqrt{3}-3\sqrt{48}\text{.}$

To type $\sqrt{\phantom{x}}\text{,}$ use sqrt( ).

Solution

First, we will simplify the radical term where $48$ is the radicand, and we may see that we then have like radicals.

$\begin{aligned} 2\sqrt{3}-3\sqrt{48}\amp=2\sqrt{3}-3\sqrt{16\cdot3}\\ \amp=2\sqrt{3}-3\cdot4\sqrt{3}\\ \amp=2\sqrt{3}-12\sqrt{3}\\ \amp=-10\sqrt{3} \end{aligned}$