How do you simplify (5x + sqrt7)^2? Algebra Radicals and Geometry Connections Multiplication and Division of Radicals 1 Answer LM Apr 1, 2017 25x^2+10xsqrt7+7 Explanation: (5x+sqrt7)^2 = (5x+sqrt7)(5x+sqrt7) expand brackets using FOIL: (5x+sqrt7)^2 =(5x+sqrt7)(5x+sqrt7) = 25x^2+5xsqrt7+5xsqrt7+sqrt7^2 =25x^2+10xsqrt7+7 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 1053 views around the world You can reuse this answer Creative Commons License