Add two simple square roots: Compute √0.01 + √0.0064 and choose the correct sum.

Difficulty: Easy

Correct Answer: None of these

Explanation:


Introduction / Context:
The task is to add two exact decimal square roots. Each term is straightforward; accuracy depends on correct decimal placement.


Given Data / Assumptions:

  • √0.01 and √0.0064 are both perfect decimal roots.
  • We will compute each and add.

Concept / Approach:
Recognize that 0.01 = 1/100 and 0.0064 = 64/10000. Then use square-root properties for fractions.


Step-by-Step Solution:

√0.01 = 0.1.√0.0064 = √(64/10000) = 8/100 = 0.08.Sum = 0.1 + 0.08 = 0.18.

Verification / Alternative check:
Square 0.08 to 0.0064 and 0.1 to 0.01; then add results as decimals.


Why Other Options Are Wrong:

  • 0.3 and 0.03 are incorrect totals.
  • √0.18 is not equal to 0.18; that is a different number (~0.4243).
  • The correct numeric value 0.18 is not explicitly listed, hence “None of these.”

Common Pitfalls:
Mistaking √0.18 for 0.18 or slipping a decimal place in 0.0064.


Final Answer:
None of these

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