Which is larger?

Algebra Level 1

Which is larger?

A=2+4++98+100B=1+3++97+99+101\begin{aligned} A &= \sqrt{2} + \sqrt{4} + \cdots + \sqrt{98} + \sqrt{100} \\\\ B &= \sqrt{1} + \sqrt{3} + \cdots + \sqrt{97} + \sqrt{99} + \sqrt{101} \end{aligned}

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