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sqrt(3+sqrt(3+6sqrt(7)+4sqrt(3)))...

sqrt(3+sqrt(3+6sqrt(7)+4sqrt(3)))

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sqrt(-sqrt(3)+sqrt(3+8sqrt(7+4sqrt(3))))=

The value of : sqrt(-sqrt3 + sqrt(3+8sqrt(7 + 4sqrt(3)))) is

(sqrt(7)+sqrt(3))/(sqrt(7)-sqrt(3))-(sqrt(7)-sqrt(3))/(sqrt(7)+sqrt(3))

1/(sqrt(7)+sqrt(3))\times (sqrt(7)-sqrt(3))/(sqrt(7)-sqrt(3))