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.
