Math is Radical 4

Algebra Level 5

If \(1 +\sqrt{2} + \sqrt{5} + \sqrt{10}\) = \(\sqrt{a + \sqrt{b + \sqrt{c + \sqrt{d}}}}\) , where \(a, b, c,\) and \(d\) are integers, find \(a + b + c + d.\)

Inspired from Math is Radical 2.

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