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QUESTION IMAGE

simplificar. $\frac{sqrt{2}}{sqrt{72}}$

Question

simplificar.
$\frac{sqrt{2}}{sqrt{72}}$

Explanation:

Step1: Simplificar la raíz cuadrada en el denominador

$\sqrt{72}=\sqrt{36\times2}=6\sqrt{2}$

Step2: Reescribir la fracción

$\frac{\sqrt{2}}{\sqrt{72}}=\frac{\sqrt{2}}{6\sqrt{2}}$

Step3: Simplificar la fracción

$\frac{\sqrt{2}}{6\sqrt{2}}=\frac{1}{6}$

Answer:

$\frac{1}{6}$