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

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:

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