Question

Faça a conta de raiz quadrada de {144} menos de 100

Answer 1

$\large\boxed{\begin{array}{lr} \sqrt{144 } \\ \\ \begin{array}{r|l}144&2 \\ 72&2 \\ 36&2 \\ 18&2 \\ 9&3 \\ 3&3 \\1 \end{array} \\ \\ \sqrt{144} = \sqrt{2 {}^{2}.2 {}^{2}. 3 {}^{2} } \\ \sqrt{144} = 2.2.3 \\ \sqrt{144} = 12 \\ \\ \\ \sqrt{100} \\ \\ \begin{array}{r|l}100&2 \\ 50&2 \\ 25&5 \\5 &5 \\1 \end{array} \\ \\ \sqrt{100 } = \sqrt{2 {}^{2} .5 {}^{2} } \\ \sqrt{100} = 2.5 \\ \sqrt{100} = 10 \\ \\ \\ \\ \sqrt{144} - \sqrt{100} \\ 12 - 10 \\ \boxed{2} \end{array}}$