How do you simplify √2(3√2−√2)? Algebra Radicals and Geometry Connections Multiplication and Division of Radicals 1 Answer Don't Memorise Apr 21, 2016 =4 Explanation: √2(3√2−√2) =√2⋅(3√2)+√2⋅(−√2) =3⋅√2⋅√2−(√2⋅√2) =(3⋅2)−(2) =6−2 =4 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 1230 views around the world You can reuse this answer Creative Commons License