The cube root of 1331 is equal to:

Question

Accepted Answer

The correct option is 2:

To find the cube root of a number, we are looking for a number that, when multiplied by itself three times, gives the original number. In mathematical terms, if $x$ is the cube root of $N$, then $x^3 = N$. We need to find the cube root of $1331$, which can be written as $\sqrt[3]{1331}$.

Step 1: Understand the concept of a cube root.
A cube root of a number is a value that, when cubed (raised to the power of 3), gives the original number.

Step 2: Test the options provided to see which one satisfies the definition.

Let's check Option 2, which is 11.
We need to calculate $11^3$:
$11^3 = 11 	imes 11 	imes 11$
First, calculate $11 	imes 11 = 121$.
Then, multiply $121 	imes 11$:``` 
  121
x  11
-----
  121  (121 x 1)
1210  (121 x 10)
-----
1331

```Since $11^3 = 1331$, the cube root of 1331 is 11.

The incorrect option is 1:
Option 1 is 121. This is actually $11^2$, not the cube root. $121^3 = 121 	imes 121 	imes 121$, which would be a much larger number than 1331.

The incorrect option is 3:
Option 3 is 33. Let's check $33^3$:
$33^3 = 33 	imes 33 	imes 33$
We know that $10^3 = 1000$ and $20^3 = 8000$. Since 33 is much larger than 10, $33^3$ will be significantly larger than 1331. Specifically, $33^3 = 35937$.

The incorrect option is 4:
Option 4 is 111. This is also much larger than the correct answer. $111^3$ would be a very large number. $100^3 = 1,000,000$, so $111^3$ will be much greater than 1331.