Answer:
[tex]y=3\sqrt[3]{14}[/tex]
Step-by-step explanation:
I'm assuming you meant to write: [tex]y^3=126[/tex]
You can solve the equation by taking the cube root of both sides:
[tex]y=\sqrt[3]{126}[/tex]
We can use the radical identity: [tex]\sqrt[n]{a*b}=\sqrt[n]{a}*\sqrt[n]{b}[/tex]
We can rewrite our radical as: [tex]y=\sqrt[3]{14*9}=\sqrt[3]{14}*\sqrt[3]{9}[/tex]
We can simplify the cube root of 9, as 3 to get the simplified form: [tex]y=3\sqrt[3]{14}[/tex]
