Question

Qual é a raiz quadrada de 800?​

Answer 1

$\Large\boxed{\begin{array}{l}\begin{array}{c|c}\sf800&\sf2\\\sf400&\sf2\\\sf200&\sf2\\\sf100&\sf2\\\sf50&\sf2\\\sf25&\sf5\\\sf5&\sf5\\\sf1\end{array}\\\sf 800=2^2\cdot2^2\cdot2\cdot5^2\\\underline{\rm Simplificac_{\!\!,}\tilde ao~de~radical~com}\\\underline{\rm extrac_{\!\!,}\tilde ao~de~fatores}\\\underline{\rm do~radicando}\\\sf\sqrt[\sf n]{\sf a^n}=a\\\sf\sqrt{800}=\sqrt{2^{\backslash\!\!\!2}\cdot2^{\backslash\!\!\!2}\cdot2\cdot 5^{\backslash\!\!\!2}}\\\sf\sqrt{800}=2\cdot2\cdot5\sqrt{2}\end{array}}$

$\Huge\boxed{\boxed{\boxed{\boxed{\sf\sqrt{800}=20\sqrt{2}}}}}$