This is the solutions of the first 5 problems in * SSC CGL Solution set 58 on Algebra 14* from suresolv.com and is rich in learning. The concepts and methods used for quick mental solution are explained with clarity.

For smart quick solutions the most important skillset is to discover useful patterns and use the associated methods. A few of the important patterns and methods used are, double square root surd simplification, forming part of target expression in given expression, sum of inverses of surd variables, transformation to sum of inverses, chained equation treatment technique, collection of like terms, zero sum of square expressions and mathematical reasoning.