How do you simplify ( sqrt (2) + sqrt (3) ) ( sqrt (2) - sqrt (3) )? Algebra Radicals and Geometry Connections Multiplication and Division of Radicals 1 Answer Sahar Mulla ❤ Mar 23, 2018 ( sqrt (2) + sqrt (3) ) ( sqrt (2) - sqrt (3) ) By the algebraic identity, color(red)(a^2 - b^2 = (a+b)(a-b) ( sqrt (2) + sqrt (3) ) ( sqrt (2) - sqrt (3) ) = ( sqrt (2))^2 - (sqrt (3) )^2 => 2 - 3 = -1 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 18591 views around the world You can reuse this answer Creative Commons License