How do you rationalize the denominator and simplify 1/(sqrt5-3)? Algebra Radicals and Geometry Connections Multiplication and Division of Radicals 1 Answer Hubert May 3, 2016 1/(sqrt(5)-3)=-(sqrt(5)+3)/4 Explanation: For expressions text(something)/(sqrt(a)-b) we multiply the numerator and denominator by sqrt(a)+b so it matches the LHS of the formula (x+y)(x-y)=x^2-y^2. 1/(sqrt(5)-3)=1/(sqrt(5)-3) * (sqrt(5)+3)/(sqrt(5)+3)=(sqrt(5)+3)/(5-9)=-(sqrt(5)+3)/4 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 1729 views around the world You can reuse this answer Creative Commons License