How do you simplify # (1/sqrt3) + (1/sqrt2)#?

1 Answer
Aug 18, 2017

Answer:

#(2sqrt(3)+3sqrt(2))/6#

Explanation:

Start by multiplying the top and bottom of both fractions by #sqrt(3)# and #sqrt(2)# respectively. This rationalizes the denominator, making it easier to work with the fractions.
#(sqrt(3)/3)+(sqrt(2)/2)#
Next, multiply the top and bottom of both fractions by #2# and #3# respectively. This creates a common denominator and allows for the combination of the two terms.
#((2sqrt(3))/6)+((3sqrt(2))/6)#
Adding them together yields:
#(2sqrt(3)+3sqrt(2))/6#