Question

√1600 gentee????????????

Answer 1

$\boxed{\begin{array}{c}\sf{Vamos~decompor~1600~em~fatores~primos}\\\sf{Para~extrair~a~ra\acute{i}z~quadrada}\end{array}}$

$\begin{array}{c|l}1600&2\\800&2\\400&2\\200&2\\100&2\\50&2\\25&5\\5&5\\1\end{array}$

$\sf{1600=(2^3)^2\cdot5^2}\\\sf{\sqrt{1600}=\sqrt{(2^3)^{\diagup\!\!\!\!2}\cdot5^{\diagup\!\!\!\! 2}}=2^3\cdot5=8\cdot5=40}$