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\sqrt{4}-\sqrt[3]{-27}+\frac{7}{2}
Rewrite the division of square roots \frac{\sqrt{8}}{\sqrt{2}} as the square root of the division \sqrt{\frac{8}{2}} and perform the division.
2-\sqrt[3]{-27}+\frac{7}{2}
Calculate the square root of 4 and get 2.
2-\left(-3\right)+\frac{7}{2}
Calculate \sqrt[3]{-27} and get -3.
2+3+\frac{7}{2}
The opposite of -3 is 3.
5+\frac{7}{2}
Add 2 and 3 to get 5.
\frac{17}{2}
Add 5 and \frac{7}{2} to get \frac{17}{2}.