NRICH: Perfectly Square

The sums of the squares of three related numbers is also a perfect square – can you explain why?

We are first given that:

x1=22+32+62
x2=32+42+122
x3=42+52+202

Then show that xn is always a perfect square.

Age 14 to 16


Algebra & Pre-Algebra, Quadratic Equations
High School, Educator

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NRICH (University of Cambridge)

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