Quiz about Racionalización

Question 1

Es el binomio conjugado de $$\left(\sqrt[]{x+3}-1\right)$$

Accepted Answer

$$\left(\sqrt[]{x+3}+1\right)$$

Answer

$$\left(\sqrt[]{x-3}+1\right)$$

Answer

$$\left(\sqrt[]{x-3}-1\right)$$

Answer

$$\left(\sqrt[]{x+3}-1\right)$$

Question 2

Simplifica el resultado y encuentra el valor de A

Accepted Answer

$$\sqrt[]{x+1}+1$$

Answer

$$\sqrt[]{x+1}$$

Answer

$$\sqrt[]{x+1}+x$$

Answer

$$x\sqrt[]{x+1}$$

Question 3

Racionaliza el denominador siguiendo las indicaciones del esquema y selecciona el resultado

Accepted Answer

$$\frac{\left(x+1\right)\left(\sqrt[]{x^2-2x+6}-x\right)}{-2}$$

Answer

$$\frac{\left(x+3\right)\left(\sqrt[]{x^2-2x+6}-x\right)}{2}$$

Answer

$$\frac{\left(x-1\right)\left(\sqrt[]{x^2-2x+6}-x\right)}{-2}$$

Answer

$$\frac{\left(x-3\right)\left(\sqrt[]{x^2-2x+6}-x\right)}{2}$$

Question 4

Racionaliza el numerador, recuerda factorizar para simplificar. $$\frac{\sqrt[]{2x-9}-3}{x-9}$$

Accepted Answer

$$\frac{2}{\sqrt[]{2x-9}\ +3}$$

Answer

$$\frac{2}{\sqrt[]{2x+9}\ +3}$$

Answer

$$\frac{2x}{\left(x-9\right)\left(\sqrt[]{2x-9}\ \ +3\right)}$$

Answer

$$\frac{2\left(x-3\right)}{\left(x-9\right)\sqrt[]{2x-9}\ +3}$$

Question 5

Resuelve, factoriza y simplifica el resultado y encuentra el valor de A

Accepted Answer

$$-2$$

Answer

$$-2x+8$$

Answer

$$-2x$$

Answer

$$-2x+20$$

Question 6

Racionaliza el denominador y simplifica: $$\frac{\left(x-1\right)^2}{\sqrt[]{x}+\sqrt[]{1}}$$

Accepted Answer

$$x\ \sqrt[]{x}-x-\sqrt[]{x}\ \ +1$$

Answer

$$\frac{x\ \ \sqrt[]{x}\ \ -1}{x-1}$$

Answer

$$\frac{x\ \sqrt[]{x}\ +1}{x-1}$$

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