The unit digit of the cube root of 1331 is __________ .

# The unit digit of the cube root of $1331$ is __________ .

1. A
$1$
2. B
$2$
3. C
$3$
4. D
$0$

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### Solution:

We know, cube of a number ending with ${1}{,}{2}{,}{3}{,}{4}{,}{5}{,}{6}{,}{7}{,}{8}{,}{9}$ ends with ${1}{,}{8}{,}{7}{,}{4}{,}{5}{,}{6}{,}{3}{,}{2}{,}{9}$ respectively.
Therefore, the cube root of the number ${1331}$, as it ends with ${1}$, therefore, the cube root will also end with ${1}$.
Let’s prove it.
So,
$⇒\sqrt[{3}]{{1331}}{=}\sqrt[{3}]{{\left({11}\right)}^{{3}}}$
${=}\sqrt[{3}]{{11}{×}{11}{×}{11}}$
${=}{11}$

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