Can a radical ever be rational?
2 answers:
Answer:
The right answer is yes, sometimes a radical can be rational.
Step-by-step explanation:
In theory a radical is a number with the next form: , the radicals can be rationals when x is written as zn, where z is an integer.
an example of a rational number that can be a radical is
this is because 125 is a perfect third power of 5 and can be expressed as , and since 5 is an integer we can say is a rational.
another example is
You might be interested in
<h3>Answer: Choice D</h3>
Domain = [-3, infinity)
==================================================
Work Shown:
In step 2, we replaced every x with g(x)
In step 3, we plugged in g(x) = sqrt(x+3)
The domain of g(x) is [-3, infinity), so this is the domain of as well since the composite function depends entirely on g(x). Put another way: the input of f(x) depends on the output of g(x), so that's why the domains match up.