What is the cube root of 88?

2 Answers
Mar 6, 2018

Answer:

#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#

Mar 6, 2018

Answer:

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.