Evaluate: 3(square root sign) b +ab if a = 27 and b = 8

Evaluate: 3(square root sign) b +ab if a = 27 and b = 8

$\begin{array}{rcll} && \sqrt[3]{b} + a\cdot b \\ &=& \sqrt[3]{8} + 27\cdot 8 \\ &=& \sqrt[3]{2^3} + 27\cdot 8 \qquad | \qquad 8 = 2^3\\ &=& 2^{ \frac{3}{3} }+ 27\cdot 8 \\ &=& 2^1+ 27\cdot 8 \\ &=& 2+ 27\cdot 8 \\ &=& 2+ 216 \\ &=& 218\\\\ \sqrt[3]{b} + a\cdot b &=& 218 \qquad \text{if } a = 27 \text{ and } b = 8 \end{array}$