Question

simplificar. \\(\sqrt{12u^{13}}\\) supongamos que la variable \\(u\\) representa un número real positivo.

Explanation:

Step1: Split radical into product

$\sqrt{12u^{12}} = \sqrt{4 \times 3 \times u^{12}}$

Step2: Separate radicals for factors

$\sqrt{4 \times 3 \times u^{12}} = \sqrt{4} \times \sqrt{3} \times \sqrt{u^{12}}$

Step3: Simplify each radical

$\sqrt{4}=2$, $\sqrt{u^{12}}=u^6$ (since $u>0$)

Step4: Combine simplified terms

$2 \times \sqrt{3} \times u^6 = 2u^6\sqrt{3}$

Answer:

$2u^6\sqrt{3}$