1. Find all the real square roots of
a. .0064 b. - .0081
a. To find the square roots of 0.0064, we can use the square root function on a calculator or find it manually.
Using a calculator, the square root of 0.0064 is approximately 0.08.
To find it manually, we can set up the equation:
x^2 = 0.0064
Taking the square root of both sides, we get:
x = +/- √0.0064
Simplifying, we find that the real square roots of 0.0064 are approximately +/- 0.08.
b. To find the square roots of -0.0081, we can follow a similar approach.
Using a calculator, the square root of -0.0081 is a complex number, which means it does not have a real square root.
To find it manually, we can set up the equation:
x^2 = -0.0081
Taking the square root of both sides, we get:
x = +/- √-0.0081
Simplifying, we find that the square root of -0.0081 is a complex number. Therefore, there are no real square roots of -0.0081.
To find the real square roots of a number, follow these steps:
a. Find all the real square roots of 0.0064:
1. Take the square root of the number. The square root of 0.0064 is approximately 0.08.
2. Since the square root function returns both a positive and negative value, the real square roots of 0.0064 are +0.08 and -0.08.
So, the real square roots of 0.0064 are +0.08 and -0.08.
b. Find all the real square roots of -0.0081:
1. Start by observing that the number is negative, which means there are no real square roots. This is because the square of any real number is positive or zero, but never negative.
2. So, there are no real square roots of -0.0081.
Therefore, for -0.0081, there are no real square roots.
√.0064 = .08
√-.0081
= √-1√.0081
= i (.09) , which is not a real number which you asked for, so
√-.0081 does not have a real square root