Solving f(√2+√3) | Cambridge Assessment Math Problem

In this video, we solve a challenging problem from the Cambridge Assessment Admissions Testing, where we are asked to find the value of \( f(\sqrt{2} + \sqrt{3}) \) given the function \( f(x) = x^4 - 10x^2 + 1 \). We'll walk through two different methods to approach and solve this problem, step by step.

If you enjoyed this problem-solving session, don't forget to like, share, and subscribe for more math videos. Stay tuned for more challenging problems and solutions!

[KorlinAng-bsrh]

Let f(x)=(x^2-5)^2-24, by completing the square. Since x^2=5+2sqrt(6), we will readily obtain the answer zero.