How do you simplify sqrt5(6-sqrt5)√5(6−√5)? Algebra Radicals and Geometry Connections Multiplication and Division of Radicals 1 Answer Nam D. Apr 24, 2018 6sqrt5-56√5−5 Explanation: Given: sqrt5(6-sqrt5)√5(6−√5) Using the distributive property, a(b-c)=ab-aca(b−c)=ab−ac. :.=6sqrt(5)-sqrt(5)*sqrt(5) =6sqrt5-(sqrt(5))^2 =6sqrt(5)-5 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 1140 views around the world You can reuse this answer Creative Commons License