Where is Square root of 1/5?

Algebra Level 3

\[\sqrt{\frac{a^{100} - b^{100}}{a^{98}(a+1) - b^{98}(b+1)}} \] Let \(a,b\) be the roots of \(x^2 - x -1 = 0\), then find the value of the above expression.

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