How do you rationalize the denominator and simplify (5 sqrt 6) / sqrt 10? Algebra Radicals and Geometry Connections Multiplication and Division of Radicals 1 Answer Nityananda Jan 14, 2017 sqrt 15 Explanation: given, [5 sqrt 6]/sqrt 10 rArr [5 sqrt2 sqrt3]/[sqrt 2 sqrt 5 rArr [5sqrt 3] /sqrt5 rArr [sqrt 5 sqrt 5 sqrt 3]/sqrt 5 rArrsqrt 5 sqrt 3 rArrsqrt15 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 1159 views around the world You can reuse this answer Creative Commons License