How do you find the cube root of 0.000343?

Question

12621 views around the world

You can reuse this answer
Creative Commons License

Answer 1 · 2016-06-26T20:18:50

$root(3)(0.000343) = 0.07$

Note that $0.000343 = 343*10^(-6)$ and $343=7^3$

So:

$root(3)(0.000343) = root(3)(343*10^(-6)) = root(3)(343)*root(3)(10^(-6))$

$= root(3)(7^3)*10^(-2) = 7*10^(-2) = 0.07$

Answer 2 · 2016-06-26T20:50:52

$0.07$

Group the decimals in three's from the decimal.
Each group must have one number.

$root(3)"0.000 343"$

$root(3)0.000 = 0$

$root(3)343 = 7$

$root(3)"0.000 343" = 0.07$

Check: 2 decimal places cubed will give 6 decimal places.