solve for z in the equation

Answer:
the answer is C
Step-by-step explanation:
added in the picture
Answer:
3rd option
Step-by-step explanation:
v² = w² + [tex]\frac{z^2}{4}[/tex] ( subtract w² from both sides )
v² - w² = [tex]\frac{z^2}{4}[/tex] ( multiply both sides by 4 to clear the fraction )
4(v² - w²) = z² ( take square root of both sides )
[tex]\sqrt{4(v^2-w^2)}[/tex] = z