How do you simplify sqrt(2) / sqrt(8)√2√8? Algebra Radicals and Geometry Connections Multiplication and Division of Radicals 1 Answer sente May 2, 2016 sqrt(2)/sqrt(8)=1/2√2√8=12 Explanation: Using the property that sqrt(a)/sqrt(b) = sqrt(a/b)√a√b=√ab for b > 0b>0 we have sqrt(2)/sqrt(8) = sqrt(2/8) = sqrt(1/4) = sqrt(1)/sqrt(4) = 1/2√2√8=√28=√14=√1√4=12 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 1352 views around the world You can reuse this answer Creative Commons License