How do you simplify #(sqrt5-2)(sqrt5-1)#?

1 Answer
Apr 23, 2017

Answer:

#color(blue)(=7-3sqrt5#

Explanation:

#(sqrt5-2)(sqrt5-1)#

#color(white)(aaaaaaaaaaaaa)##sqrt5-2#
#color(white)(aaaaaaaaaaaaa)## sqrt5-1#
#color(white)(aaaaaaaaaaaaa)##------#
#color(white)(aaaaaaaaaaaaaaa)##5-2sqrt5#
#color(white)(aaaaaaaaaaaaaaaaaa)##-sqrt5+2#
#color(white)(aaaaaaaaaaaaa)##------#
#color(white)(aaaaaaaaaaaaaaa)##color(blue)(5-3sqrt5+2#

#color(blue)(=7-3sqrt5#