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$Find the sum of the series \sum_{k = 1}^{360} (\frac{1}{k \sqrt{k + 1} + (k + 1) \sqrt{k}})$

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Correct option is B

Tk=1kk+1k+k+1=k+1−kkk+1=1k−1k+1∴S=∑k=1360 1k−1k+1=1−1361=1−119=1819

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Find the sum of the series ∑k=1360 1kk+1+(k+1)k

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$Find the sum of the series \sum_{k = 1}^{360} (\frac{1}{k \sqrt{k + 1} + (k + 1) \sqrt{k}})$