Question

Rădăcina pătrată a lui 300304

Answer 1

Răspuns: $\bf \sqrt{300~304} =\red{548}$

Explicație pas cu pas:  

$\bf 300304~\big|~2\\150152~\big|~2\\~~~75076~\big|~2\\~~~37538~\big|~2\\~\,~~18769~\big|~137\\~\,\,~~~~~137~\big|~137\\~~\,~~~~~\underline{~~~1~\big|~1~~}$    ⇒ 300 304 = 2⁴ · 137²

$\bf \sqrt{300~304} =\sqrt{2^{4}\cdot137^2} =\sqrt{\big(2^{2}\cdot137\big)^2} =$

$\bf =\sqrt{\big(4\cdot137\big)^2} =\sqrt{\big(548\big)^2}=\red{\underline{\underline{548}}}$

==pav38==

Baftă multă !