Question

Упростите выражение √(8-√11)^2-√(√11-4)^2

Answer 1

$sqrt{(8- sqrt{11} )^{2}} - sqrt{(sqrt{11} - 4 )^{2}} = 8- sqrt{11} - sqrt{11} + 4 = 12 - 2 sqrt{11} =$$11 - 2 sqrt{11} + 1 = (sqrt{11} - 1)^{2}$