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 17751 views around the world You can reuse this answer Creative Commons License