Question 812926
{{{(8-sqrt(7))^2}}}
One could use FOIL for this. But I prefer using patterns. For this binomial (two-term expression) the pattern would be:
{{{(a-b)^2 = a^2-2ab+b^2}}}
In your expression the 'a' will be '8' and the 'b' will be {{{sqrt(7)}}}. Replacing the a's and b's in the pattern with these values we get:
{{{(8)^2-2(8)(sqrt(7))+(sqrt(7))^2}}}
Simplifying...
{{{64 -16sqrt(7)+7}}}
{{{71-16sqrt(7)}}}