Why can't helicopters reach mount everest? Is there a reason why people can't just take the helicopter to mount Everest? Why is it that helicopters can't reach that high?
 A: Helicopters create lift by their rotor blades pushing an equal mass of air downwards.
The air pressure at the top of Mt Everest (29,000ft) is only about 1/3 as much as at sealevel so your helicopter can only generate 1/3 of the lift. In addition it's cold so you risk ice forming on the rotors, fuel and hydraulics freezing and finally the weather isn't always very nice.
The altitude record for a helicopter is 40,000ft. It was set in 1972 with a very light version of a simple helicopter. There isn't much reason to fly helicopters at the height of a jet airliner so there aren't many helicopters developed to fly this high.
A: Helicopter rotor is a rotating wing. It produces lift the same way aircraft wing does, but instead of relying on forward motion of the aircraft it has it's own motion.
The lift generated depends on coefficient of lift, air density and forward speed. Formally
$L = \frac{1}{2}\rho v^2\alpha C_L$
where $L$ is lift force, $\rho$ is air density, $v$ is forward velocity, $\alpha$ is angle of attack and $C_L$ is coefficient of lift, which is generally function of $\alpha$, but in the normal operating range can be considered constant.
At $8\ 900\ \mathrm{m}$, the air density is about $38\%$ compared to the sea level. But to balance the weight, the aircraft still needs the same amount of lift. The $\alpha$ is limited by the stall angle (above which $C_L$ is much less), so the only option to maintain lift is increasing speed.
Fixed-wing aircraft can simply fly faster, which is allowed by the fact that drag is also proportional to air density (until you get too close to speed of sound, which is why all jet transports curise at 0.8–0.85 of speed of sound). However making rotary wing spin faster, because the rotor blades can only be made so strong to withstand the centrifugal force and also because in forward flight the advancing blade could get dangerously close to speed of sound.
As was noted by others already, helicopters that can climb that high exist, but they need larger rotor and stronger engine while being light and since most uses don't require those high altitudes, most helicopters are not designed to reach them.
A: Apparently helicopters could reach mount Everest:
https://en.wikipedia.org/wiki/Mount_Everest#2005:_Pilot_summits_Everest_with_helicopter
A: Yes. Helicopters require a certain amount of air for lift. The lack of air near the peak of Mount Everest makes it impossible for most helicopters to get the required lift and therefore fly.
