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Simplification & Approximation · Question 42 of 71

Question 42

EasyOriginal question

Find 0.0002163\sqrt[3]{0.000216}.

Options for question 42

Show the answer and explanation
CorrectNot quiteAnswer C

Correct answer: C

Explanation

  1. Write it as a fraction: 0.000216=21610000000.000216 = \frac{216}{1000000}.

  2. 2163=6\sqrt[3]{216} = 6 and 10000003=100\sqrt[3]{1000000} = 100, so the cube root is 6100=0.06\frac{6}{100} = 0.06.

Worth noting

A cube root divides the number of decimal places by 3: six places become two. Check: 0.063=0.0002160.06^3 = 0.000216.

Concept
Cube root of a decimal
Typical time
40 s
Your time
—
The rule this testsPowers, roots and surds
Practise this chapter →

Ten questions from Simplification & Approximation, at your own pace.

Practise this chapter →

Ten questions from Simplification & Approximation, at your own pace.