Be careful with this nested square root equation

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 Shop my math t-shirts & hoodies on Amazon: 👉 https://amzn.to/3qBeuw6 ----------------------------- I help students master the basics of math. You can show your support and help me create even better content by becoming a patron on Patreon 👉 https://www.patreon.com/blackpenredpen. Every bit of support means the world to me and motivates me to keep bringing you the best math lessons! Thank you! ----------------------------- #math #algebra #mathbasics