Question

PLEASE HELP!! The area of a square is 16 square units. Since 4^2 = 16 and (-4)^2 = 16, both 4 and -4 are square roots for 16. Explain how "both square roots for 16, the area of the square, are the length of each side of the square" is incorrect.
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Answer 1

we can't say that "both square roots for 16, the area of the square, are the length of each side of the square"

Because one of these solutions does not have a meaning in the given contest.

Why is the statement incorrect?

So we have a square with an area of 16 square units, then the side length of that square will be given by:

S^2 = 16 square units

Now, there are two solutions for the above equation, these are:

S = 4 units

S = -4 units.

But being a solution of the equation does not mean that the solutions have sense in the context of the problem.

When we talk about dimensions of figures, negative numbers are not really well defined. We can't say that a square has a side length of "negative 4 units"

That does not make sense, remember that math is just a language, and it should be used to communicate things to others.

So the logical solutions (4 and -4) is not the only thing we need to look at when we state the solutions of a problem, but also the problem itself.

That is why we can't say that "both square roots for 16, the area of the square, are the length of each side of the square"

Because one of these solutions does not have a meaning in the given contest.

If you want to learn more about square roots:

brainly.com/question/98314

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