# Between what two consecutive integers do root3(200) lie?

The number $\sqrt[3]{200}$ lies between $5$ and $6$
We can figure it out if we know that ${5}^{3} = 5 \cdot 5 \cdot 5 = 125$ and ${6}^{3} = 6 \cdot 6 \cdot 6 = 36 \cdot 6 = 216$