A good practice in mathematics is to always check your work. Explain why it is very important to do so when you are solving equations that involve radical expressions?

I know this is a dumb and straightforward question but I'm not sure if there's anything specific.

Question

A good practice in mathematics is to always check your work. Explain why it is very important to do so when you are solving equations that involve radical expressions?

I know this is a dumb and straightforward question but I'm not sure if there's anything specific.

mathstudent55 · Answer

One method of solving radical expressions is to isolate a radical and then square both sides of the equation. This method generates a new equation that can contain solutions that are not solutions to the original radical equation. When you use this method, you must always check each solution in the original radical equation to make sure that each solution you obtained satisfies the original radical equations. The solutions that do not satisfy the original radical solution must be discarded and are called "extraneous."

simplymarie_x · Answer

Thank you so so much!