Why do photons take so much longer than neutrinos to emerge from the sun?

Because of the strong interaction of photons with matter,neutrinos rarely interact with matter

Explanation:

In the core of the sun,nuclear fusion which is a nuclear reaction,produces the photons and neutrinos,for photons to emerge from the sun's core it passes through denser particles colliding and losing energy as it moves at such it can take it up to a million years to emerge from the sun core.Unlike the neutrinos that has more easier path,with little or no collission.

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