Compute the square root of a decimal: What is √0.04 equal to?

Difficulty: Easy

Correct Answer: 0.2

Explanation:


Introduction / Context:
Square roots of decimals can be handled by converting to fractions or by recognizing perfect-square decimal patterns.


Given Data / Assumptions:
We need √0.04.


Concept / Approach:
Rewrite 0.04 as 4/100 = (2^2)/(10^2). Then √0.04 = √(4/100) = √4 / √100 = 2/10 = 0.2.


Step-by-Step Solution:

0.04 = 4/100√0.04 = √4 / √100 = 2 / 10 = 0.2


Verification / Alternative check:
(0.2)^2 = 0.04, confirming the result.


Why Other Options Are Wrong:
0.02 and 0.002 are off by one or two decimal places; 0.04 is the original number, not its square root; “None of these” is unnecessary.


Common Pitfalls:
Misplacing decimal points when square-rooting; always factor numerator and denominator separately.


Final Answer:
0.2

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