Approximately 2.828427
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Rounded to five decimal places, sqrt(2) + sqrt(7) = 4.05996.
Expressed as a surd, sqrt(98) + sqrt(2) = 8 sqrt(2).
2*sqrt(12) + sqrt(27) = 2*sqrt(4*3) +sqrt(9*3) = 2*sqrt(4)*sqrt(3) + sqrt(9)*sqrt(3) = 2*2*sqrt(3) + 3*sqrt(3) = 4*sqrt(3) + 3*sqrt(3) = 7*sqrt(3)
1/[5 + 3*sqrt(2)] = [5 - 3*sqrt(2)]/{[5 + 3*sqrt(2)][5 - 3*sqrt(2)]} = [5 + 3*sqrt(2)]/[25 - 18] = [5 - 3*sqrt(2)]/7
+sqrt(5)