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Why can't we overcome the uncertainty predicted by Heisenberg principle by building more precise devices to reduce the error in measurement below the `h//4pi` limit ?

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It may be noted that the uncertainty principle is not because of the limitation of the measuring instrument. Actually, the location and momentum of the microscopic particles are expressed along the same axis. In case, we try to be more precise above the position of the particle, our knowledge of its momentum becomes correspondingly less precise and vice versa. In fact, the main problem leading to this principle is that we cannot see a microscopic particle without disturbing it.
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Why can't we evercome the uncertainty predicted by hesisenherg principle by building more precise devices to reduce the error in measurment below the h//4pi limit ?

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When number having uncertainties or errors are used to compute other numbers. These will be uncertain. Its is especially important to underset this when a number obtained from measurements is to be compared with a value obtained from theoretical prediction. Assume a student wants to verify the value of pi , the ration of circumference to diameter of a cricle. the correct value of ten digits is 3.141592654. he draws a circle and measures its diameter and circumference to its nearest milimeter obtaining the values 135 mm and 424 mm, respectively. using a calculator he finds pi =3.140840741. Why does measured value not match with calculated value ?

Werner Heisenberg considered the limits of how precisely we can measure the properties of an electron or other microscopic particle. He determined that there is a fundamental limit to how closely we can measure both position and momentum. The more accurately we measure the momentum of a particle, the less accurately we can determine its position. The converse also true. This is summed up in what we now call the Heisenberg uncertainty principle. The equation si deltax.delta (mv)ge(h)/(4pi) The uncertainty in the position or in the momentum of a marcroscopic object like a baseball is too small to observe. However, the mass of microscopic object such as an electon is small enough for the uncertainty to be relatively large and significant. If the uncertainties in position and momentum are equal, the uncertainty in the velocity is :