Question

Qual a soma da raiz cúbica de 8 com a raiz quadrada de 900 ?

Answer 1

$\sqrt[3]{8} = 2 \\ \\ \sqrt{900} = 30 \\ \\ 30 + 2 = \huge{32}$

Answer 2

Siga a resolução da questão

• Calculando a raiz cúbica de 8:

$\begin{array}{r|l} 8&2\\ 4&2\\ 2&2\\ 1\\ \\ & {2}^{3} \end{array} \\ \\ \mathtt{ \sqrt[3]{8} = \sqrt[\cancel{3}]{ {2}^{\cancel{3}} } = 2 }$

• Calculando a raiz quadrada de 900:

$\begin{array}{r|l} 900&2\\ 450&2\\ 225&3\\ 75&3\\ 25&5 \\ 5&5 \\1 \\ & {2}^{2} \times {3}^{2} \times {5}^{2} \end{array} \\ \\ \mathtt{ \sqrt{900} = \sqrt[\cancel{2}]{ {2}^{\cancel{2}} \times {3}^{\cancel{2}} \times {5}^{\cancel{2}} } = 2 \times 3 \times 5 = 30 }$

• Agora vamos somar:

$\mathtt{ \sqrt[3]{8} + \sqrt{900} } \\ \\ \mathtt{2 + 30} \\ \\ \boxed{\mathtt{32}}$

Resposta: 32

Att: José Armando