Section 1.3 : Radicals
13. Multiply the following expression. Assume that \(x\) is positive.
\[\sqrt x \left( {4 - 3\sqrt x } \right)\] Show SolutionAll we need to do here is do the multiplication so here is that.
\[\sqrt x \left( {4 - 3\sqrt x } \right) = 4\sqrt x - 3\sqrt x \left( {\sqrt x } \right) = 4\sqrt x - 3\sqrt {{x^2}} = \require{bbox} \bbox[2pt,border:1px solid black]{{4\sqrt x - 3x}}\]Don’t forget to simplify any resulting roots that can be. That is an often missed part of these problems.