Question 213473
MULTIPLY RADICAL EXPRESSION
(square root of 14  +7)(square root of 14   -7)


{{{(sqrt(14) + 7)(sqrt(14) - 7)}}}


Use FOIL to expand.


Foiling, we get: {{{(sqrt(14))^2 - 7*sqrt(14) + 7*sqrt(14) - 49}}} = {{{(sqrt(14))^2 - 49}}}* 


* Since this product represents a DOTS, or Difference Of Two Squares, it can also be written as {{{(sqrt(14))^2 - 7^2}}}


Since {{{(sqrt(14))^2}}} in {{{(sqrt(14))^2 - 49}}} = 14, we will have (14 - 49), which equals {{{highlight_green(- 35)}}}