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Answer :

Answer:

[tex]\frac{\sqrt{3}x}{2y^{\frac{2}{3} } }[/tex]

Step-by-step explanation:

√3x^6/√2x^4y^3

~Factor

(√3)x^3/(√2)x²y√y

~Cancel

(√3)x/(√2)y√y

~Rationalize

(√6)x/2y^(2/3)

Best of Luck!