Question

What is the simplest form of the expression?

Answer 1

^ 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