Question 261346
your expression is {{{(6 * sqrt(50)) - (6 * sqrt(2))}}}


{{{50 = 25*2 = 5*5*2}}}


{{{sqrt(50) = sqrt(5*5*2) = 5*sqrt(2)}}}


your expression becomes:


{{{(6 * 5 * sqrt(2)) - (6 * sqrt(2))}}}


you can factor out the 6 and the sqrt(2) to get:


{{{6 * sqrt(2) * (5 - 1)}}} which becomes:


{{{6 * sqrt(2) * 4}}} which becomes:


{{{24 * sqrt(2)}}}


you can confirm by solving the original equation and your final equation to see if you get the same answer.


use your calculator.


{{{24 * sqrt(2)}}} = 33.9411255


{{{(6 * sqrt(50)) - (6 * sqrt(2))}}} = 42.42640687 - 8.485281373 = 33.9411255


you get the same answer so the simplification is good.


your answer is:


{{{(6 * sqrt(50)) - (6 * sqrt(2))}}} can be simplified to {{{24 * sqrt(2)}}}