How do you simplify #(1 + 2 sqrt3) /( 1 + sqrt3 )#?

1 Answer
May 2, 2018

Answer:

#7/4#

Explanation:

To start, you want to get rid of both square roots.
To do this you want to multiply #root2(3)# to the nominator and the denominator of the equation.
#(1+2root2(3) times root2(3))/(1+root2(3) times root2(3))#
Doing this will cancel out the roots and make the #root2(3)# become a #3#.
#(1+2 times 3)/(1+3)#
From this point on you just follow BEDMAS and solve the equation.
#7/4#
All done!