Square root

Let The square root of x means the real number, for which   Squaring can be done separately, if all conditions are satisfied:  1.  2. Examples: 1.  2.  3.  4.  5.  Example 6.  In this example, the parameter a must be postive. However, the same deduction cannot be done for the parameter b, as squaring loses information on the sign: Example 7.  Example 8.