How do you simplify 7 div(5 - sqrt11)7÷(5−√11)? Algebra Radicals and Geometry Connections Multiplication and Division of Radicals 1 Answer Alan P. Oct 21, 2015 7 div (5-sqrt(11)) = (5+sqrt(11))/27÷(5−√11)=5+√112 Explanation: 7div(5-sqrt(11)) = 7/(5-sqrt(11))7÷(5−√11)=75−√11 rationalizing the denominator: color(white)("XXX")= 7/(5-sqrt(11)) * (5+sqrt(11))/(5+sqrt(11))XXX=75−√11⋅5+√115+√11 color(white)("XXX")=(7(5+sqrt(11)))/(25-11)XXX=7(5+√11)25−11 color(white)("XXX")=(7(5+sqrt(11)))/14XXX=7(5+√11)14 color(white)("XXX")=(5+sqrt(11))/2XXX=5+√112 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 1513 views around the world You can reuse this answer Creative Commons License