To solve the expression [tex]\(\sqrt[3]{2 h^2} + g\)[/tex] given [tex]\(h = -2\)[/tex] and [tex]\(g = 5\)[/tex], follow these steps:
1. Substitute the given values into the expression:
[tex]\[
\sqrt[3]{2 (-2)^2} + 5
\][/tex]
2. Calculate [tex]\((-2)^2\)[/tex]:
[tex]\[
(-2)^2 = 4
\][/tex]
3. Multiply the result by 2:
[tex]\[
2 \cdot 4 = 8
\][/tex]
4. Take the cube root of the result:
[tex]\[
\sqrt[3]{8} = 2
\][/tex]
5. Add 5 to the cube root:
[tex]\[
2 + 5 = 7
\][/tex]
Therefore, the value of the expression is [tex]\(7\)[/tex]. The correct answer is:
B. 7
