SOLUTION: I am having a lot of trouble with using the distributive property to simplify roots. Here is my current question: (2-4*sqrt.6)(3+4*sqrt.2) Thanks (:

SOLUTION: I am having a lot of trouble with using the distributive property to simplify roots. Here is my current question: (2-4sqrt.6)(3+4sqrt.2) Thanks (:

Question 844165: I am having a lot of trouble with using the distributive property to simplify roots. Here is my current question: (2-4*sqrt.6)(3+4*sqrt.2)
Thanks (:
Answer by algebrahouse.com(1659) (Show Source): You can put this solution on YOUR website!
(2 - 4√6)(3 + 4√2)
= 2(3) + 2(4√2) - 4√6(3) - 4√6(4√2) {used distributive property or foil method}
= 6 - 8√2 - 12√6 - 16√12 {multiplied}
= 6 - 8√2 - 12√6 - 16√4 √3 {broke down √12}
= 6 - 8√2 - 12√6 - 16(2)√3 {evaluated the square root of 4}
= 6 - 8√2 - 12√6 - 32√3 {multiplied -16 by 2}

For more help from me, visit: www.algebrahouse.com

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