Squaring an expression in a radical equation can produce extraneous equations because it is a non-invertible operation. In fact, raising and expression to any even power is a non-invertible operation.

One pattern you may notice is if one side of the equation is a negative integer before you square both sides, you will find the solution is extraneous.

Always check your solutions by substituting them back into the equation.

Return to Making Connections (Predicting Extraneous Solutions)

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