If the question is:
#(sqrt(5) - 6)^2#
Then you can rewrite this as:
#(sqrt(5) - 6)(sqrt(5) - 6)#
To multiply these two terms you multiply each individual term in the left parenthesis by each individual term in the right parenthesis.
#(color(red)(sqrt(5)) - color(red)(6))(color(blue)(sqrt(5)) - color(blue)(6))# becomes:
#(color(red)(sqrt(5)) xx color(blue)(sqrt(5))) - (color(red)(sqrt(5)) xx color(blue)(6)) - (color(red)(6) xx color(blue)(sqrt(5))) + (color(red)(6) xx color(blue)(6))#
#5 - 6sqrt(5) - 6sqrt(5) + 36#
We can now combine like terms:
#5 + 36 + (-6 - 6)sqrt(5)#
#41 - 12sqrt(5)#
If you want this as a single number, #sqrt(5) = 2.236# rounded to the nearest thousandth.
Substituting this in gives:
#41 - (12 xx 2.236)#
#41 - 26.833#
#14.167# rounded to the nearest thousandth.
