What is the value of \(\frac{1}{\sqrt{900} – \sqrt{899}} – \frac{1}{\sqrt{899}-\sqrt{898}} + \frac{1}{\sqrt{898}-\sqrt{897}} – \frac{1}{\sqrt{897}-\sqrt{896}}+⋯+\frac{1}{\sqrt{2}-\sqrt{1}}\).

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The number 2 is multiplied once again by 2 to produce the number 4, so 2 is considered a square root of 4. The cube root follows the same lines, except that a number must be multiplied by itself three times.


What is the value of \(\frac{1}{\sqrt{900} – \sqrt{899}} – \frac{1}{\sqrt{899}-\sqrt{898}} + \frac{1}{\sqrt{898}-\sqrt{897}} – \frac{1}{\sqrt{897}-\sqrt{896}}+⋯+\frac{1}{\sqrt{2}-\sqrt{1}}\).