Mobile Notice
You appear to be on a device with a "narrow" screen width (i.e. you are probably on a mobile phone). Due to the nature of the mathematics on this site it is best views in landscape mode. If your device is not in landscape mode many of the equations will run off the side of your device (should be able to scroll to see them) and some of the menu items will be cut off due to the narrow screen width.
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.