How do you simplify (2 + sqrt(-5))(3 + sqrt(-7))(2+√−5)(3+√−7)? Algebra Radicals and Geometry Connections Multiplication and Division of Radicals 1 Answer Vinícius Ferraz Mar 30, 2017 (6 - sqrt 35) + i(2 sqrt 7 + 3 sqrt 5)(6−√35)+i(2√7+3√5) Explanation: (2 + i sqrt 5)(3 + i sqrt 7) = 6 + 2i sqrt 7 + 3i sqrt 5 - sqrt 35(2+i√5)(3+i√7)=6+2i√7+3i√5−√35 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 2623 views around the world You can reuse this answer Creative Commons License