How do you simplify 21/sqrt7? Algebra Radicals and Geometry Connections Multiplication and Division of Radicals 1 Answer Don't Memorise Feb 28, 2016 =color(blue)(3sqrt7 Explanation: 21/sqrt7 Rationalising the denominator: 21/sqrt7= (21 xx color(blue)(sqrt7))/(sqrt7 xx color(blue)(sqrt7 =(21sqrt7)/7 =(cancel21sqrt7)/cancel7 =color(blue)(3sqrt7 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 3229 views around the world You can reuse this answer Creative Commons License