Square root of a small decimal: Find an appropriate approximation for √0.064.

Introduction / Context:
We estimate the square root of a small decimal. Because 0.064 is not a perfect square, we present a rounded value consistent with the options provided.

Given Data / Assumptions:

• Number: 0.064 = 64/1000.
• We want √0.064.

Concept / Approach:
Compute √(64/1000) = 8/√1000 = 8/(10√10) = (4)/(5√10). Convert to decimal using √10 ≈ 3.1623.

Step-by-Step Solution:

Verification / Alternative check:
Square 0.252 ≈ 0.063504, very close to 0.064; with 0.253^2 ≈ 0.064009, straddling the true value.

Why Other Options Are Wrong:

• 0.8, 0.08, 0.008 are order-of-magnitude mismatches.
• 0.32 is also too large.

Common Pitfalls:
Assuming 0.064 is close to 0.06 and guessing; compute using √(64/1000) to stay accurate.

Final Answer:
0.252