The answer is option D) [tex]\sqrt[4]{3x^2/2y}[/tex]
Step-by-step explanation:
- The given expression is [tex]\sqrt[4]{24x^6y/128x^4y^5}[/tex]
- Divide by 8 inside the root and cancel out x and y terms.
The reduced expression is [tex]\sqrt[4]{3x^2/16y^4}[/tex]
Which can be further reduced to [tex]\sqrt[4]{3x^2} /\sqrt[4]{2^4y^4}[/tex]
∴ The equivalent expression is [tex]\sqrt[4]{3x^2} /2y[/tex]
