Question

Demonstrati ca x este patrat perfect iar apoi calculati √x daca x= 1+2+3+...+360+361•181

Answer 1

$x = \frac{361 \times 360}{2} + 361 \times 181 = \\ = 361 \times 180 + 361 \times 181 = \\ = 361 \times (180 + 181) = \\ = 361 \times 361 = \\ = {361}^{2} \\ \\ \sqrt{ {361}^{2} } = 361$