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Multiplicative inverse

The multiplicative inverse (reciprocal) of the square root of two (i.e., the square root of 1 / 2) is a widely used constant.

One-half of 2 {\displaystyle {\sqrt {2}}}, also the reciprocal of 2 {\displaystyle {\sqrt {2}}}, is a common quantity in geometry and trigonometry because the unit vector that makes a 45° angle with the axes in a plane has the coordinates

This number satisfies