QuestionRadieal Cube root of an integer
Find the value of $\sqrt[3]{1000}$ $\square$

Studdy Solution
To find the cube root of 1000, we look for a number $y$ that, when multiplied by itself three times, equals 1000. We can test small integers to find this value:
- $1^3 = 1$ - $2^3 = 8$ - $3^3 = 27$ - $4^3 = 64$ - $5^3 = 125$ - $6^3 = 216$ - $7^3 = 343$ - $8^3 = 512$ - $9^3 = 729$ - $10^3 = 1000$
We find that $10^3 = 1000$.
The value of $\sqrt[3]{1000}$ is:
$$\boxed{10}$$