# 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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