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What is the value of this expression when [tex]h=-2[/tex] and [tex]g=5[/tex]?

[tex]
\sqrt[3]{2 h^2} + g
[/tex]

A. 9
B. 7
C. 3
D. 1

Sagot :

GinnyAnswer
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
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