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If the constant term in the binomial expansion of ${(\sqrt{x} - \frac{k}{x^{2}})}^{10}$ is 405, then $| k |$ equal

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Correct option is C

Since, the general term in the expansion of binomialx−kx210 is Tr+1=10Crx10−r2(−k)rx−2r=10Cr(−k)rx10−5r2∵the Term is constant,So r=2.∴ 10C2(−k)2=405⇒ 10×92k2=405⇒k2=9⇒|k|=3

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If the constant term in the binomial expansion of x−kx210is 405, then |k| equal

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If the constant term in the binomial expansion of ${(\sqrt{x} - \frac{k}{x^{2}})}^{10}$ is 405, then $| k |$ equal