How do you simplify 3sqrt(y^4)* 3sqrt(81y^5)3√y4⋅3√81y5? Algebra Radicals and Geometry Connections Multiplication and Division of Radicals 1 Answer MathFact-orials.blogspot.com Apr 15, 2017 81y^4sqrty=81y^(9/2)81y4√y=81y92 Explanation: We can rewrite: 3sqrt(y^4)xx3sqrt(81y^5)=>3√y4×3√81y5⇒ 3xxsqrt(y^2)xxsqrt(y^2)xx3xxsqrt81xxsqrt(y^2)xxsqrt(y^2)xxsqrty=>3×√y2×√y2×3×√81×√y2×√y2×√y⇒ 3xx3xxsqrt(9^2)xxsqrt(y^2)xxsqrt(y^2)xxsqrt(y^2)xxsqrt(y^2)xxsqrty=>3×3×√92×√y2×√y2×√y2×√y2×√y⇒ 9xx9xxyxxyxxyxxyxxsqrty=>9×9×y×y×y×y×√y⇒ 81y^4sqrty=81y^(9/2)81y4√y=81y92 Answer link Related questions How do you simplify \frac{2}{\sqrt{3}}2√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)73√5? How do you multiply (sqrt(a) +sqrt(b))(sqrt(a)-sqrt(b))(√a+√b)(√a−√b)? How do you rationalize the denominator for \frac{2x}{\sqrt{5}x}2x√5x? Do you always have to rationalize the denominator? How do you simplify sqrt(5)sqrt(15)√5√15? How do you simplify (7sqrt(13) + 2sqrt(6))(2sqrt(3)+3sqrt(6))(7√13+2√6)(2√3+3√6)? See all questions in Multiplication and Division of Radicals Impact of this question 1029 views around the world You can reuse this answer Creative Commons License