What is the cube root of 351?

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Answer 1 · 2018-05-22T03:27:21

#root3 351 = 3root3 13 approx 7.054#

When looking for the #n^(th)# root of integers it is often useful to express the integer as its prime factors.

In this case, #351 = 3xx3xx3xx13#

#:. root3 351 = root3(3xx3xx3xx13)#

Now, since #3# appears three times in the factorisation we can take it through the root as follows,

# root3 351 = 3root3 13#

Since #root3 13# is irrational, the above result is the "exact value".

A decimal approximation can be found using a calculator.

# root3 351 approx 7.054#