electricians use the Square Root function when connecting 3 way outlets with the electral current of an intel processor.
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The diagonal of a unit square, for example, is radical(2).
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An excellent real life example of a square pyramid are the Pyramids at Giza. They have four sides at the base and come to a point.
A real life example of the sine function could be a ferris wheel. People board the ride at the ground (sinusoidal axis) and the highest and lowest heights you reach on the ride would be the amplitudes of the graph.