I need help rationalising this
$$\frac{4}{(\sqrt{5}+1)(\sqrt[4]{5}+1)(\sqrt[8]{5}+1)(\sqrt[16]{5}+1) }$$
I'm so stuck with this problem!
2026-02-22 22:48:56.1771800536
Rationalising the denominator problem
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The deepest root is the place to start. Multiply top and bottom by $\sqrt[16]5-1$. You don't have any more sixteenth roots, so this is progress. Keep going.