Question

Find all the real cube roots of 0.000064

Answer 1

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

Answer 2

Answer:

$\sqrt[3]{\frac{64}{1000000}}$ = 0.04

Step-by-step 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 = $\frac{64}{1000000}$.

Taking cube root

$\sqrt[3]{\frac{64}{1000000}}$

We can write 64 as 4 *4 * 4

1000000 as 100 * 100 * 100

$\sqrt[3]{\frac{4 * 4 *4}{100 * 100 * 100}}$

Then  $\{\frac{4}{100}}$ = 0.04

Therefore,  $\sqrt[3]{\frac{64}{1000000}}$ = 0.04