How do you simplify sqrt(8y^3)-sqrt(2y^3)? Algebra Radicals and Geometry Connections Multiplication and Division of Radicals 1 Answer Rashi J. · MeneerNask · Johnson Z. Nov 22, 2015 ysqrt(2y) Explanation: sqrt(8y^3)-sqrt(2y^3) Factor sqrt{y^3}=sqrt(y^2*y)=ysqrty =ysqrty*(sqrt(8)-sqrt{2}) Simplify \sqrt{8}=sqrt(4*2)=2sqrt2: =ysqrty*(2\sqrt{2}-sqrt{2}) =ysqrty*sqrt{2} =ysqrt{2y 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 2184 views around the world You can reuse this answer Creative Commons License