How do you rationalize and simplify 5 / ( sqrt 14 - 2 )? Algebra Radicals and Geometry Connections Multiplication and Division of Radicals 1 Answer Massimiliano Mar 30, 2015 You have to multiply numerator and denominator by: sqrt14+2, so: 5/(sqrt14-2)*(sqrt14+2)/(sqrt14+2)=(5(sqrt14+2))/(14-4)= =(5(sqrt14+2))/10=(sqrt14+2)/2. Answer link Related questions How do you simplify \frac{2}{\sqrt{3}}? How do you multiply and divide radicals? How do you rationalize the denominator? What is Multiplication and Division of Radicals? How do you simplify 7/(""^3sqrt(5)? How do you multiply (sqrt(a) +sqrt(b))(sqrt(a)-sqrt(b))? How do you rationalize the denominator for \frac{2x}{\sqrt{5}x}? Do you always have to rationalize the denominator? How do you simplify sqrt(5)sqrt(15)? How do you simplify (7sqrt(13) + 2sqrt(6))(2sqrt(3)+3sqrt(6))? See all questions in Multiplication and Division of Radicals Impact of this question 4297 views around the world You can reuse this answer Creative Commons License