If $a=64$ and $b=289,$ then the value of $(\sqrt{\sqrt{a}+\sqrt{b}}-\sqrt{\sqrt{b}-\sqrt{a}})^{\frac{1}{2}}$ is

  • A
    $2^{\frac{1}{2}}$
  • B
    $2$
  • C
    $4$
  • D
    $-2$

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