$$\sqrt[4]{10018}=(10000+18)^{\frac{1}{4}}=10\times\left(1+\frac{18}{10000}\right)^{\frac{1}{4}}$$

The last term can be estimated as

$$1+\frac{1}{4}\times\frac{18}{10000}=1.00045$$

Therefore we conclude

$$\sqrt[4]{10018}\approx 10\times 1.00045=\boxed{10.0045}$$