Question

Extraia máximo possível do radicando:

⁴√8100=​

Answer 1

$\texttt{veja \: abaixo} \\ \sqrt[4]{8100} \\ \sqrt[4]{2 \times 2 \times 3 \times 3 \times 3 \times 3 \times 5 \times 5} \\ \sqrt[4]{(3 \times 3 \times 3 \times 3) \times 2 \times 2 \times 5 \times 5} \\ \sqrt[4]{ {3}^{4} \times 2 \times 2 \times 5 \times 5} \\ 3\sqrt[4]{2 \times 2 \times 5 \times 5} \\ 3 \sqrt[4]{100} \\ 3 \sqrt[4]{{10}^{2} } \\ 3 \times 10 \frac{1}{2} \\ 3 \sqrt{10} \: \\ 90 \times 90 = 8100 \: \checkmark$

resposta: 90