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.

$root3 351 approx 7.054$