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

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1

2

3

0

answer is A.

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Detailed 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,

\Rightarrow \sqrt[3]{1331} = \sqrt[3]{{(11)}^{3}}

= \sqrt[3]{11 \times 11 \times 11}

= 11

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