Question

Extraia a raiz quadrada de 900 Utilizando a decomposição em fatores primos.

Answer 1

√900 = √2²x3²x5² = 2x3x6 = 30
900/2
450/2
225/3
75/3
25/5
5/5
1

Answer 2

$\large\boxed{\begin{array}{l} \begin{array}{r|l}900&2 \\ 450&2 \\ 225&3 \\ 75&3 \\25&5 \\ 5&5 \\ 1 \end{array} \\ \\ \sqrt{900} = \sqrt{2 {}^{2} \cdot3 {}^{2} \cdot5 {}^{2} } \\ \sqrt{900} = 2 \cdot3 \cdot5 \\ \sqrt{900} = 30\end{array}}$