probability or statistics - Drawing random numbers from TransformedDistribution

Suppose I have created the following TransformedDistribution:

dist = TransformedDistribution[0.5` + 4.830917874396135` Sqrt[0.01071225` - 10 x^2],
    x \[Distributed] GammaDistribution[α, β], Assumptions -> {x >= 0}]

My question is simply, how do I get Mathematica to draw random numbers from dist?

Edit:

Should this, for example, work?

dist = TransformedDistribution[0.5 + 4.830917874396135 Sqrt[0.01071225 - 10 x^2], 
  x \[Distributed] GammaDistribution[5.389705454315603, 0.00517629198314588], 
  Assumptions -> {x > 0 , x < 0.1}]

RandomVariate[dist, 10]

It doesn't at my end.

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