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MathNet 2023-part-07 — 187 problems (EN–VI) Question 20

Math Olympiad Vault · MathNet 2023-part-07 — 187 problems (EN–VI)

Question 20

Find the integer closest to the value of the expression:
$$
((7 + \sqrt{48})^{2023} + (7 - \sqrt{48})^{2023})^2 - ((7 + \sqrt{48})^{2023} - (7 - \sqrt{48})^{2023})^2.
$$