Answer:
w=12
Step-by-step explanation:
[tex] \sqrt[3]{64} = 4[/tex]
so equate it to √w+4
[tex] \sqrt{w + 4} = 4[/tex]
square both sides to get rid of the square root
[tex]( \sqrt{w + 4} ) {}^{2} = (4) {}^{2} [/tex]
[tex]w + 4 = 16[/tex]
subtract both sides by 4
[tex]w = 16 - 4[/tex]
[tex]w = 12[/tex]