The problem requires calculating the sum of three square roots: √0.04, √1.96, and √86.49.
First, calculate each square root individually: √0.04 = 0.2, √1.96 = 1.4, and √86.49 = 9.3.
Then, sum these values to find the total: 0.2 + 1.4 + 9.3 = 10.9.
The final sum matches the first option.
Why Other Options Were Wrong
Option B: This value is significantly larger than the correct sum and results from an incorrect calculation.
Option C: This value is incorrect and likely stems from a miscalculation of the individual square roots or an error in the final addition.
Option D: This value is incorrect. It may arise from errors in placing the decimal points during the square root calculation or in the final summation.
Related Visual
Clinical Relevance
Nursing practice connection: Knowing Calculation of the sum of square roots of decimal numbers helps nurses interpret findings accurately and avoid errors in routine assessment, medication administration, and patient teaching.
While this is a pure mathematics question, strong numeracy skills are fundamental for nurses and other healthcare professionals.
Nurses use math daily for critical tasks like calculating medication dosages, titrating IV drips, and interpreting lab results, where a decimal point error can have serious patient safety consequences.
This type of question reinforces the importance of precision and accuracy in calculation, a core competency in safe clinical practice.
How to Approach the Question
First, identify the mathematical operation required. The question asks for the 'sum' of 'square roots'.
Break the problem down into smaller, manageable parts. Calculate each square root term (√0.04, √1.96, √86.49) one by one.
For each decimal square root, you can think of the whole number equivalent (e.g., for √1.96, think of √196 = 14) and then place the decimal correctly (1.4).
Once all terms are calculated (0.2, 1.4, 9.3), perform the final operation, which is addition.
Sum the values, ensuring the decimal points are aligned correctly: 0.2 + 1.4 + 9.3 = 10.9.
Finally, compare your result with the given options to find the correct answer.
Concept Tested & Keywords
Concept Tested: Calculation of the sum of square roots of decimal numbers.
Stem keywords: sum, square roots, decimal numbers
Lead-in keywords: equal to
Question ID
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Practise the full UP NHM CHO 7 Sept 2022(shift-1st)
Attempt every question from this paper in a timed mock, then review the full solution for each one.