Add two simple square roots: Compute √0.01 + √0.0064 and choose the correct sum.
Aptitude
Square Root and Cube Root
Difficulty: Easy
Choose an option
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A0.3
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B0.03
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C√0.18
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DNone of these
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E0.18
Answer
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