What is the solution of 3square root x+8 = - 4?

• x=-72

• x=-66

• x=58

• no solution

No solution

Step-by-step explanation:

I'd suggest you try to solve this first: 3√ (x + 8) = 4. First, square both sides; this results in 9 (x + 8) = 16, or x + 72 = 16/9, or x = - 632/9. We cannot let x = - 632/9 in √ (x + 8) because - 632/9 is not in the domain of the square root function. No solution.

If we now write 3√ (x + 8) = - 4 (note the negative sign), similar efforts at solution result in 9 (x + 8) = - 4, or x + 8 = - 4/9, or x = - 8 - 4/9. If we now substitute this result for (x + 8) in 3√ (x + 8) = - 4 (above), we get 3√ (-8 + 8 - 4/9), which has no solution; - 4/9 is not in the domain of the square root function.