How do you multiply (7+sqrt(5b))(7–sqrt(5b))? Algebra Radicals and Geometry Connections Multiplication and Division of Radicals 1 Answer Don't Memorise Jun 18, 2015 = color(blue)(49 - 5b Explanation: This is of the form : color(blue)((a+b)(a-b) = a^2 - b^2 So , (7+sqrt(5b))(7–sqrt(5b)) = 7^2 - sqrt((5b))^2 = color(blue)(49 - 5b 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 1793 views around the world You can reuse this answer Creative Commons License