Question

Aratati ca 10^2=6^2+8^2,apoi ca 10^22se poate scrie ca o suma de doua patrate ale unor numere naturale.

Answer 1

10²=6²+8²
100=36+64
100=100

10²² =
= 10²·10²⁰
= 100·(10¹⁰)²
= (36+64)·(10¹⁰)²
= (6²+8²)·(10¹⁰)²
= (6·10¹⁰)²+(8·10¹⁰)²

Answer 2

100=36+64

10^22=10^2×10^20
=(36+64)×10^20
=6^2+8^2)×(10^10)^2
=(6×10^10)^2+(8×10^10)^2