what is the simplest form of the expression? ^3 sqrt 750 + ^3 sqrt 2058 - ^3 sqrt 48A) 14 ^3 sqrt 6B) 17.5 ^3 sqrt 6C) 33 ^3 sqrt 6D) 10 ^3 sqrt 6
Accepted Solution
A:
^ 3 sqrt 750 + ^ 3 sqrt 2058 - ^ 3 sqrt 48 Rewriting the expression we have ^ 3 sqrt (6 * x ^ 3) + ^ 3 sqrt (6 * y ^ 3) - ^ 3 sqrt (6 * z ^ 3) That is, we have the following equations: 6 * x ^ 3 = 750 6 * y ^ 3 = 2058 6 * z ^ 3 = 48 Clearing x, y and z we have: x = 5 y = 7 z = 2 Then, rewriting the expression x (^ 3 sqrt (6)) + y (^ 3 sqrt (6)) - z (^ 3 sqrt (6)) Substituting the values 5 (^ 3 sqrt (6)) + 7 (^ 3 sqrt (6 *)) - 2 (^ 3 sqrt (6)) 10 (^ 3 sqrt (6)) answer the simple form of the expression is D) 10 ^ 3 sqrt 6