Let's see how to solve sqrt(x+2sqrt(x))=1, which is a nested square root equation. We have to be careful whenever we square both sides of an equation, we may get extraneous solutions.
Related videos:
Completing the square: https://youtu.be/cdly18802P8?si=Wo4syM1FcI8QI1Wa
Simplifying nested square roots (shortcut & proof) https://youtu.be/Pc6JdaHAkjc?si=_C3JmVhspuWVGBmr
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