Reciprocals of some mathematical expressions
Introduction
This page is about simplifying the reciprocals of some mathematical expressions by moving square roots from the denominator to the numerator.
Reciprocals involving the golden ratio
The golden ratio (phi):
Example: 1/(5φ+2) = (5φ−7)/11
Other reciprocals
A minus-or-plus sign (∓) on the right side of the equation means the sign is the opposite of the plus-or-minus sign (±) on the left side of the equation.
Example: 1/(3+√7) = (3−√7)/2