Step-by-step explanation:
[tex]\text{If is}\ 3\sqrt{x+8}=-4,\ \text{then the equation has no solution, because}\ \sqrt{a}\geq0.\\\\\text{If is}\ \sqrt[3]{x+8}=-4,\ \text{then:}\\\\\sqrt[3]{x+8}=-4\qquad\text{third power of both sides}\\\\(\sqrt[3]{x+8})^3=(-4)^3\qquad\text{use}\ (\sqrt[n]{a})^n=a\\\\x+8=-64\qquad\text{subtract 8 from both sides}\\\\\boxed{x=-72}[/tex]
An equation is formed when two equal expressions are equated together with the help of an equal sign '='. The solution of ∛(x+8) = -4 is x=-72.
An equation is formed when two equal expressions are equated together with the help of an equal sign '='.
The solution of ∛(x+8) = -4 can be found as,
∛(x+8) = -4
x+8 = -64
x = -64 - 8
x = -72
Hence, The solution of ∛(x+8) = -4 is x=-72.
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