True or False.
1. If q is negative, then the square root of q^2 = q.
2. If r is positive, then the square root of r^2 = -r.
F
F
1. False. If q is negative, the square root of q^2 is actually equal to the absolute value of q, written as |q|. This is because the square of any real number, whether positive or negative, is always positive. Taking the square root of a positive number will give you the same value as the original number.
To explain how to get the answer, you need to follow these steps:
- Take the square of q by multiplying it by itself: q^2.
- Calculate the square root of q^2, which is equal to the absolute value of q, written as |q|.
2. False. If r is positive, the square root of r^2 is equal to the positive value of r, not -r. The square root of a positive number will always yield a positive result.
To explain how to get the answer, follow these steps:
- Take the square of r by multiplying it by itself: r^2.
- Calculate the square root of r^2, which is equal to the positive value of r.