How do you simplify (4√3−5√2)⋅(2√3+3√2)? Algebra Radicals and Geometry Connections Multiplication and Division of Radicals 1 Answer Joe D. Apr 2, 2015 (4√3−5√2)⋅(2√3+3√2)= 4√3⋅2√3+4√3⋅3√2−5√2⋅2√3−5√2⋅3√2= 8√3⋅3+12√3⋅2−10√2⋅3−15√2⋅2= 8√32+12√6−10√6−15√22= 8⋅3+12√6−10√6−15⋅2= 24+√6⋅(12−10)−30= Answer: 2√6−6 Answer link Related questions How do you simplify 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 73√5? How do you multiply (√a+√b)(√a−√b)? How do you rationalize the denominator for 2x√5x? Do you always have to rationalize the denominator? How do you simplify √5√15? How do you simplify (7√13+2√6)(2√3+3√6)? See all questions in Multiplication and Division of Radicals Impact of this question 1927 views around the world You can reuse this answer Creative Commons License