Question

Calculeaza a = $\sqrt{114+(2+4+6+...+226)}$

Answer 1

salut!
$a= \sqrt{114+2(1+2+3+...+113)} = \sqrt{144+2 \frac{113*114}{2} }$
=$\sqrt{114+113*114}= \sqrt{114*114} =114$

Answer 2

$a = \sqrt{114+(2+4+6+...+226)} \\ \\ a = \sqrt{114+2\cdot(1+2+3+...+113)} \\ \\ a = \sqrt{114+2\cdot \dfrac{113\cdot(113+1)}{2}} \\ \\ a = \sqrt{114+113\cdot (113+1)} \\ \\ a = \sqrt{114+113\cdot 114} \\ \\ a = \sqrt{114\cdot(1+113)}\\ \\ a = \sqrt{114\cdot 114} \\ \\ a = \sqrt{114^2} \\ \\ a= 114$