Simplify double root - UK Senior Maths Challenge 2005

Welcome to my solutions video on the UK Senior Maths Challenge (UKSMC) question 25 from the 2005 paper. This is a great problem to demonstrate the need for razor-sharp recall and application of algebraic identities to avoid tiresome rationalisation.
The UKSMC is a great way to test your math skill and knowledge, but practice for most students is advised!
Watch this video series to find worked solutions, extra tips, extension problems and other observations. Please like and comment, and of course subscribe as I will be uploading a new video solution each week. Check out my playlists for previous exams and maths challenge solutions.
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[@gamerbacondude9816]

Well done bro, I really learnt something from this video

[@eternity_hour]

Glad to hear that

[@IvayloHristakiev]

The thumbnail has a different problem

[@eternity_hour]

It was a little hard to get the whole question into a thumbnail, and it is much simpler. Sorry for any confusion

[@mysteriouspikachuman]

🤑🤑🤑 (i forgot how to do this)

[@eternity_hour]

Thanks buddy - this is great practice material for your algebra - look at the material at the end!