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$The term independent of x in {[(\sqrt{\frac{x}{3}}) + \frac{\sqrt{3}}{x^{2}}]}^{10} is$

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Correct option is A

The general term is, Tr+1=Cr 10x310-r2·3r2x2r =Cr 101310-r2×3r/2×x10-r2-2r Therefore, for independent term of x , we have, 10-r2-2r=0⇒r=2 Therefore, term independent of x =C(10,2)134×3=45×1×381=4527=53

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The term independent of x in x3+3x210 is

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$The term independent of x in {[(\sqrt{\frac{x}{3}}) + \frac{\sqrt{3}}{x^{2}}]}^{10} is$