Question

qual e a raiz quadrada de √4761

Answer 1

Decompondo 4761 em fatores primos:

$\begin{array}{r|r} 4\,761&3\\ 1\,587&3\\ 529&23\\ 23&23\\ 1 \end{array}~~~\Rightarrow~~~\boxed{\begin{array}{c}4\,761=3^2\cdot 23^2 \end{array}}$


Dessa forma,

$\sqrt{4\,761}\\\\ =\sqrt{3^2\cdot 23^2}\\\\ =\sqrt{(3\cdot 23)^2}\\\\ =3\cdot 23\\\\ =69\\\\\\ \therefore~~\boxed{\begin{array}{c}\sqrt{4\,761}=69 \end{array}}$