How do you simplify sqrt(44/9)*sqrt(18/7)*sqrt(35/72)√449⋅√187⋅√3572? Algebra Radicals and Geometry Connections Multiplication and Division of Radicals 1 Answer Shwetank Mauria Feb 18, 2017 sqrt(44/9)*sqrt(18/7)*sqrt(35/72)=1/3sqrt55√449⋅√187⋅√3572=13√55 Explanation: sqrt(44/9)*sqrt(18/7)*sqrt(35/72)√449⋅√187⋅√3572 = sqrt((2xx2xx11)/(3xx3))*sqrt((2xx3xx3)/7)*sqrt((7xx5)/(2xx2xx2xx3xx3))√2×2×113×3⋅√2×3×37⋅√7×52×2×2×3×3 = sqrt((cancel(2xx2)xx11)/(cancel(3xx3)))*sqrt((cancel2xxcancel(3xx3))/cancel7)*sqrt((cancel7xx5)/(cancel2xxcancel(2xx2)xx3xx3)) = sqrt((11xx5)/(3xx3) = 1/3sqrt55 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 1309 views around the world You can reuse this answer Creative Commons License