How can a black hole evaporate if the accretion of mass is bigger than the small energy emit upon radiation?

How can a black hole evaporate if the accretion of mass is bigger than the small energy emit upon radiation, that is if a black hole keeps aggregating mass from nearby stars and emits only small amount of Hawking radiation, how is it possible for it to evaporate?



Another question is that what's the extent to which a black hole can absorb mass, or what's the maximum distance that a black hole can attract other stellar object?How can a black hole evaporate if the accretion of mass is bigger than the small energy emit upon radiation?
An _isolated_ black hole will evaporate, i.e. the beast will evaporate through Hawking radiation if it is not also capturing mass.



A black hole is just like any other mass: its gravitational influence extents to infinity, but the strength decreases as a square of the distance. Anything that is far enough will either be on the stronger influence of something else, or will adopt a stable orbit around the black hole. If a massive object gets close enough, then tidal effect will jump in, orbiting and spiraling downward, but will not "fall" in the black hole until it reaches the event's horizon.



If our Sun could turn into a black hole, it would have a radius of about 3 km. And Mercury, the closest planet orbiting, around 50 million km away, would be safe from falling in.
Because Hawking Radiation is the gathering of virtual particles halves with the release of corresponding heat in accordance with Uncertainty, it continues on in the backdrop even while physical matter and energy are absorbed. So, there wouldn't be a disappearing act. Simply, the rate of growth surpasses the rate of reduction. There is a limit to how large a black hole can achieve. This is its heat death. The size is determined by the frequency. How large that is? Well, I'll let you do the number crunching. It's a simple formula law.How can a black hole evaporate if the accretion of mass is bigger than the small energy emit upon radiation?
@andrealg An amateur physicist might take the challenge to clarify the concept for themselves and rehearse the concept in memory...
for your second answer it depends on its mass, some black holes can be microscopicHow can a black hole evaporate if the accretion of mass is bigger than the small energy emit upon radiation?
Do you think a physicist is going to hang around here and answer this??