Question

What is the cube root of 88?

Answer 1

`root(3)88=2root(3)11` or decimal approximation to 25 decimal places that is 4.4479601811386310423307268

Explanation:

find a factor that is a cube number

`root(3)(8*11)`

seperate the multiples using the radical law `root(n)(xy)=root(n)x*root(n)y`

`root(3)8*root(3)11`

The cube root of 8 is 2

`2*root(3)11`

`2root(3)11`

Answer 2

See a see a solution process below

Explanation:

We can rewrite this expression as:

`root(3)(88) => root(3)(8 * 11)`

We can then use this rule for radicals to simplify the expression:

`root(n)(color(red)(a) * color(blue)(b)) = root(n)(color(red)(a)) * root(n)(color(blue)(b))`

`root(3)(color(red)(8) * color(blue)(11)) => root(3)(color(red)(8)) * root(3)(color(blue)(11)) => 2root(3)(11)`

If you need an exact number: `root(3)(88) => 4.448` rounded to the nearest thousandth.