How do you simplify #(15-sqrt75)/5#?

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Answer 1 · 2016-09-07T14:56:18

#3-sqrt(3)#

Given:#" "(15-sqrt(75))/5#

#15 -> 3xx5#
#75->3xx25 -> 3xx5^2#

Write as:

#((3xx5)-sqrt(3xx5^2))/5#

#((3xx5)-5sqrt(3))/5#

#(5(3-sqrt(3)))/5#

#3-sqrt(3)#