Simplify
$\sqrt {9 + 2(1 + \sqrt {3})(1 + \sqrt {7})}$
I know this requires denesting but I don't know how to begin here.
2026-03-25 11:00:41.1774436441
Simplify $\sqrt {9 + 2(1 + \sqrt {3})(1 + \sqrt {7})}$
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$9 + 2(1 + \sqrt {3})(1 + \sqrt {7})=1^2+(\sqrt3)^2+(\sqrt{7})^2+2\sqrt3+2\sqrt7+2(\sqrt3)(\sqrt7)=(1+\sqrt3+\sqrt7)^2$