How do you simplify the expression 4sqrt2-6sqrt8? Algebra Radicals and Geometry Connections Multiplication and Division of Radicals 1 Answer Don't Memorise Apr 2, 2016 =- 8 sqrt2 Explanation: 4sqrt2 - 6 sqrt8 We first simplify sqrt (8) = sqrt (2*2*2) = sqrt ( 2^2 *2 )= color(green)(2 sqrt2 =4sqrt2 - 6 * color(green)((2 sqrt2) = 4sqrt2 - 12 sqrt2 =- 8 sqrt2 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 1238 views around the world You can reuse this answer Creative Commons License