What is the reciprocal of the square root of 2?

Just as the reciprocal of the number 2 is 1/2, or 0.5, the reciprocal of the square root of 2 is the square root of 1/2.  This is represented numerically as 0.707106781186...  

Try it again, this time using numbers which will yield whole-number results.  


For example, take the number 64.  The reciprocal of 64 is 1/64 or 0.015625.  

The square root of 64 is 8, and the reciprocal of 8 is 1/8 or 0.125.  

Note that the square root of 0.015625 is 0.125.

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