How do you simplify sqrt3 div(sqrt12 - sqrt5)? Algebra Radicals and Geometry Connections Multiplication and Division of Radicals 1 Answer Bhavin B. May 15, 2018 (sqrt3)/(2sqrt3-sqrt5) Explanation: First, we find the factors of sqrt12 and simplify it further. sqrt12 = sqrt(4 xx 3 = sqrt4xxsqrt3 = 2xxsqrt3 (sqrt3)/(sqrt12 - sqrt5) ----->we know that sqrt12 is 2xxsqrt3 and substitute that for sqrt12 as shown below: (sqrt3)/(2xxsqrt3 -sqrt5) = (sqrt3)/(2sqrt3-sqrt5) 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 2295 views around the world You can reuse this answer Creative Commons License