Question

Find all the real cube roots of 0.000064

Answer 1

`\sqrt[3]{(64)/(1000000)}` = 0.04

Explanation:

Given : 0.000064.

To find : find all the real cube roots.

Solution : We have given that 0.000064.

Convert it in to fraction form

0.000064 =
`(64)/(1000000)`.

Taking cube root

`\sqrt[3]{(64)/(1000000)}`

We can write 64 as 4 *4 * 4

1000000 as 100 * 100 * 100

`\sqrt[3]{(4 * 4 *4)/(100 * 100 * 100)}`

Then
`\{(4)/(100)}` = 0.04

Therefore,
`\sqrt[3]{(64)/(1000000)}` = 0.04

Answer 2

`\sqrt[3]{0.000064}= \sqrt[3]{ (64)/(1,000,000) }= \sqrt[3]{ (4^3)/(100^3) }= \sqrt[3]{ ((4)/(100))^3 }= (4)/(100)=0.04`