Verified answer

Hi,

4 √(24)(2√(6) - 3√(2)) =

8√(144) - 12√(48) =

8*12 - 12*4√(3) =

96 - 48√(3) <==ANSWER

I hope that helps!! :-)

24 = 6*4 so √24 = √4√6 = 2√6

3√2 = √9√2 = √18

18 = 6*3 so √18 = √3√6

so we have

4 * 2√6 * (2√6 - √3√6)

= 4 * (4*6 - 2*6√3)

= 4 * (24 - 12√3)

= 96 - 48√3

4√(24) ( 2√(6)-3√(2)) =

8√144 - 12√48 =

8(12) - 12√16√3 =

96 - 12(4)√3 =

96 - 48√3

-48 (-2 + Sqrt[3])