How do find the quotient of #(3 - sqrt3) /( sqrt3)#?

1 Answer
May 14, 2018

Answer:

#sqrt3-1#

Explanation:

First, to simplify it, get rid of the irrational number in the denominator by multiplying both the numerator and denominator by #sqrt3# to get
#(3sqrt3-3)/3#
Now, you can simply divide both terms in the numerator and the denominator by #3# to get
#(sqrt3-1)/1#
Since any number divided by one is the same after dividing, it is the same as
#sqrt3-1#