The unit digit of the cube root of 1331 is __________ . - Sri Chaitanya Infinity Learn Best Online Courses for NCERT Solutions, CBSE, ICSE, JEE, NEET, Olympiad and Class 6 to 12

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

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