Question

How do you work out the cube root of 0.001 without a calculator?
Please explain and show the working out.

Answer 1

$\sqrt[3]{.001} = \sqrt[3]{ \frac{1}{1000} } = \frac{1}{10} = .1$

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Answer 2

0.001

CUBE ROOT WITHOUT A CALCULATOR:--

FOLLOW THESE STEPS:-

• WE CAN WRITE 0.001 AS 1/1000
• NOW WE KNOW THAT CUBE ROOT OF 1 IS 1 AND CUBE ROOT OF 1000 IS 10.
• THEREFORE OUR SIMPLIFIED FRACTION WILL BE 1/10
• 1/10 IS 0.1
• REQUIRED ANSWER IS 0.1

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