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Simplification & Approximation · Question 50 of 71

Question 50

MediumOriginal question

Evaluate 0.0169×1.44\sqrt{0.0169} \times \sqrt{1.44}.

Options for question 50

Show the answer and explanation
CorrectNot quiteAnswer A

Correct answer: A

Explanation

  1. 0.0169=0.13\sqrt{0.0169} = 0.13 because 0.132=0.01690.13^2 = 0.0169.

  2. 1.44=1.2\sqrt{1.44} = 1.2.

  3. 0.13×1.2=0.1560.13 \times 1.2 = 0.156.

Worth noting

A square root halves the number of decimal places: 0.0169 has four, so its root has two. Taking 0.0169\sqrt{0.0169} as 1.3 gives 1.56.

Concept
Square roots of decimals
Typical time
45 s
Your time
—
The rule this testsPowers, roots and surds
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