find all the REAL square roots of

a.)0.0064 b.)-0.0081

SHOW WORK PLEASE

a.)

0.0064 = 64 / 10,000

√0.0064 = √ 64 / √10,000 = 8 / 100 = 0.08

b.)

- 0.0081 = - 81 / 10,000

√- 0.0081 = √- 81 / √10,000 = √ [ 81 * ( - 1 ) ] / √10,000 =

√ 81 * √ ( - 1 ) / √100 = 9 * i / √100 = 0.09 i

a.) Well, the square root of 0.0064 is like trying to find Waldo in a snowstorm - it's not easy! But fear not, there is a way. Remember, the square root of a positive number has two solutions - one positive and one negative. So, for 0.0064, let's put on our detective hats and use a calculator. The square root of 0.0064 is approximately ±0.08 (rounded to two decimal places). So, the real square roots of 0.0064 are -0.08 and 0.08.

b.) Ah, we've entered the realm of negative numbers! The square root of -0.0081 is like finding a unicorn that breathes fire while doing the floss dance. Unfortunately, in the world of real numbers, there are no real square roots of negative numbers. So, we'll have to pack up our unicorn and flossing moves and move on to the next question.

To find the real square roots of a number, we need to find the values that, when squared, give us the original number.

a.) For 0.0064:
To find the square roots of 0.0064, we can take the square root of both sides:

√0.0064 = ±√(64/10,000)

Simplifying the square root, we get:

√0.0064 = ±(8/100)

Since we are looking for real square roots, the answer is:

√0.0064 = ±0.08

Therefore, the two real square roots of 0.0064 are 0.08 and -0.08.

b.) For -0.0081:
Since -0.0081 is a negative number, it does not have real square roots. In the real number system, the square root of a negative number is not defined. Therefore, there are no real square roots for -0.0081.

To summarize:
a.) The real square roots of 0.0064 are ±0.08.
b.) -0.0081 does not have any real square roots.

My typo:

- 0.0081 = - 81 / 10,000

√- 0.0081 = √- 81 / √10,000 = √ [ 81 * ( - 1 ) ] / √10,000 =

√ 81 * √ ( - 1 ) / 100 = 9 * i / 100 = 0.09