Question 715207
<pre>
why would 4 plus/minus the square root of 32 divided by 2 equal 2 plus or minus the square root of 8 and not be 2 plus or minus the square root of 16 ? 


This obviously is the calculation of the roots, using this, the quadratic equation formula.

You gave: {{{(4 +- sqrt(32))/2}}} = {{{(4 +- sqrt(16 * 2))/2}}} = {{{(4 +- sqrt(16)*sqrt(2))/2}}} = {{{(4 +- 4sqrt(2))/2}}} = {{{(2(2 +- 2sqrt(2)))/2}}} = {{{(cross(2)(2 +- 2sqrt(2)))/cross(2)}}} = {{{highlight(2 +- 2sqrt(2))}}}, or {{{2 +- sqrt(8)}}}</pre>