How do you rationalize the denominator and simplify the answer #2/(5+sqrt3)#?

1 Answer
Alan P.
Apr 8, 2015

You can clear the radical from the denominator by multiplying by the conjugate of the denominator (remembering that you have to multiply both the numerator and the denominator to avoid changing the value of the expression).

#2/(5+sqrt(3))#

#= 2/(5+sqrt(3)) * (5-sqrt(3))/(5-sqrt(3))#

#= (10 -2sqrt(3))/(25-3)#

#= (5-sqrt(3))/(11)#

Related questions
See all questions in Multiplication and Division of Radicals
Impact of this question
1753 views around the world
You can reuse this answer
Creative Commons License