# Why is it necessary to check for extraneous solutions in radical equations?

QUESTION POSTED AT 01/06/2020 - 03:16 PM

QUESTION POSTED AT 01/06/2020 - 03:16 PM

Extraneous solutions mean "extra and not necessary"

Example: the area of a square = 16, what is the side of the square:

:If a is the side, the area is a²:

a² = 16, the square root of a = +√16 or a= - √16 :

a =4 or a = - 4 , Obviously you can't have a side of - 4, then this solution is an extraneous one

Example: the area of a square = 16, what is the side of the square:

:If a is the side, the area is a²:

a² = 16, the square root of a = +√16 or a= - √16 :

a =4 or a = - 4 , Obviously you can't have a side of - 4, then this solution is an extraneous one

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