Questions: Select the correct choice below and, if necessary, fill in the answer box to complete your choice.
A. √0.0004= □ (Simplify your answer.)
B. It is not possible to find √0.0004.
Transcript text: Select the correct choice below and, if necessary, fill in the answer box to complete your choice.
A. $\sqrt{0.0004}=$ $\square$ (Simplify your answer.)
B. It is not possible to find $\sqrt{0.0004}$.
Solution
Solution Steps
To solve this problem, we need to calculate the square root of 0.0004. The square root of a number is a value that, when multiplied by itself, gives the original number. We can use Python's math library to compute the square root.
Step 1: Calculate the Square Root
To find \( \sqrt{0.0004} \), we recognize that \( 0.0004 \) can be expressed as \( 4 \times 10^{-4} \). Therefore, we can simplify the square root as follows:
\[
\sqrt{0.0004} = \sqrt{4 \times 10^{-4}} = \sqrt{4} \times \sqrt{10^{-4}} = 2 \times 10^{-2} = 0.02
\]
Final Answer
The answer is A, as \( \sqrt{0.0004} = 0.02 \). Thus, we can box the final answer:
\[
\boxed{0.02}
\]