How do you simplify sqrt7(3-sqrt7)√7(3−√7)? Algebra Radicals and Geometry Connections Multiplication and Division of Radicals 1 Answer Alan P. Sep 1, 2016 3sqrt(7)-73√7−7 Explanation: color(red)(sqrt(7))(3-sqrt(7))√7(3−√7) by distribution color(white)("XXX")=color(red)(sqrt(7))*3 - color(red)(sqrt(7))*sqrt(7)XXX=√7⋅3−√7⋅√7 color(white)("XXX")=3sqrt(7)-7XXX=3√7−7 Answer link Related questions How do you simplify \frac{2}{\sqrt{3}}2√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)73√5? How do you multiply (sqrt(a) +sqrt(b))(sqrt(a)-sqrt(b))(√a+√b)(√a−√b)? How do you rationalize the denominator for \frac{2x}{\sqrt{5}x}2x√5x? Do you always have to rationalize the denominator? How do you simplify sqrt(5)sqrt(15)√5√15? How do you simplify (7sqrt(13) + 2sqrt(6))(2sqrt(3)+3sqrt(6))(7√13+2√6)(2√3+3√6)? See all questions in Multiplication and Division of Radicals Impact of this question 1177 views around the world You can reuse this answer Creative Commons License