Answer:
Step-by-step explanation:
x^2 + 24x + 144 is a perfect square: (x + 12)². The square root of this is
±(x + 12).
g(x) = square root of x^3 -216 = √(x^3 - 216), or
√(x³ - 6³). x³ - 6³ is not a perfect square, altho' it can be factored.
The square root of f(x) is ±(x + 12) and the square root of g(x) is not defined.
In mathematics, a function is an expression, rule, or law that describes the relationship between one variable (the independent variable) and another variable (the dependent variable).
f(x) = x^2 + 24x + 144
f(x) = x^2 + 2(12)x + 12^2
f(x) = (x + 12)^2
Square root of f(x) is ±(x + 12)
g(x) = x^3 - 216
g(x) = (x - 6)(x^2 + 6x + 36)
Here, (x^2 + 6x + 36) does not have real roots hence it is not possible to find the square root of g(x).
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