How do you simplify 18 / sqrt3? Algebra Radicals and Geometry Connections Multiplication and Division of Radicals 1 Answer Tony B Jun 24, 2016 6sqrt(3) Explanation: Multiply by 1 but in the form of 1=sqrt(3)/sqrt(3) color(brown)("Multiplying by 1 does not change the inherent value but it can")color(brown)("change the way something looks.") 18/sqrt(3)xxsqrt(3)/sqrt(3) (cancel(18)^6xxsqrt(3))/(cancel(3)^1)" "=" "6sqrt(3) 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 1460 views around the world You can reuse this answer Creative Commons License