Saturday, 22 August 2026

Exercise (8.1).1

Convert the following integers into sum of two squares:

(a) 36 (b) 37 (c) 101 (d) 170 (e) 229


(a) $36 = 6^2 + 0^2$


(b) $37 = 6^2 + 1^2$


(c) $101 = 10^2 + 1^2$


(d) $170 = 7^2 + 11^2$

Interestingly, $170 = 13^2 + 1^2$ is also true.


(d) $229 = 2^2 + 15^2$