Réitigh 2/5(sqrt{13}-4)(sqrt{13}+4)

$$\frac { 2 } { 5 } ( \sqrt { 13 } - 4 ) ( \sqrt { 13 } + 4 )$$

Luacháil

$$-\frac{6}{5}=-1.2$$

Céimeanna Réitigh

Úsáid an t-airí dáileach chun \frac{2}{5} a mhéadú faoi \sqrt{13}-4.

$$\left(\frac{2}{5}\sqrt{13}+\frac{2}{5}\left(-4\right)\right)\left(\sqrt{13}+4\right)$$

Scríobh \frac{2}{5}\left(-4\right) mar chodán aonair.

$$\left(\frac{2}{5}\sqrt{13}+\frac{2\left(-4\right)}{5}\right)\left(\sqrt{13}+4\right)$$

Méadaigh 2 agus -4 chun -8 a fháil.

$$\left(\frac{2}{5}\sqrt{13}+\frac{-8}{5}\right)\left(\sqrt{13}+4\right)$$

Is féidir an codán \frac{-8}{5} a athscríobh mar -\frac{8}{5} ach an comhartha diúltach a bhaint.

$$\left(\frac{2}{5}\sqrt{13}-\frac{8}{5}\right)\left(\sqrt{13}+4\right)$$

Cuir an t-airí dáileacháin i bhfeidhm trí gach téarma de \frac{2}{5}\sqrt{13}-\frac{8}{5} a iolrú faoi gach téarma de \sqrt{13}+4.

$$\frac{2}{5}\sqrt{13}\sqrt{13}+\frac{2}{5}\sqrt{13}\times 4-\frac{8}{5}\sqrt{13}-\frac{8}{5}\times 4$$

Méadaigh \sqrt{13} agus \sqrt{13} chun 13 a fháil.

$$\frac{2}{5}\times 13+\frac{2}{5}\sqrt{13}\times 4-\frac{8}{5}\sqrt{13}-\frac{8}{5}\times 4$$

Scríobh \frac{2}{5}\times 13 mar chodán aonair.

$$\frac{2\times 13}{5}+\frac{2}{5}\sqrt{13}\times 4-\frac{8}{5}\sqrt{13}-\frac{8}{5}\times 4$$

Méadaigh 2 agus 13 chun 26 a fháil.

$$\frac{26}{5}+\frac{2}{5}\sqrt{13}\times 4-\frac{8}{5}\sqrt{13}-\frac{8}{5}\times 4$$

Scríobh \frac{2}{5}\times 4 mar chodán aonair.

$$\frac{26}{5}+\frac{2\times 4}{5}\sqrt{13}-\frac{8}{5}\sqrt{13}-\frac{8}{5}\times 4$$

Méadaigh 2 agus 4 chun 8 a fháil.

$$\frac{26}{5}+\frac{8}{5}\sqrt{13}-\frac{8}{5}\sqrt{13}-\frac{8}{5}\times 4$$

Comhcheangail \frac{8}{5}\sqrt{13} agus -\frac{8}{5}\sqrt{13} chun 0 a fháil.

$$\frac{26}{5}-\frac{8}{5}\times 4$$

Scríobh -\frac{8}{5}\times 4 mar chodán aonair.

$$\frac{26}{5}+\frac{-8\times 4}{5}$$

Méadaigh -8 agus 4 chun -32 a fháil.

$$\frac{26}{5}+\frac{-32}{5}$$

Is féidir an codán \frac{-32}{5} a athscríobh mar -\frac{32}{5} ach an comhartha diúltach a bhaint.

$$\frac{26}{5}-\frac{32}{5}$$

Tá an t-ainmneoir céanna ag \frac{26}{5} agus \frac{32}{5} agus, mar sin, is féidir iad a dhealú trína n-uimhreoirí a dhealú.

$$\frac{26-32}{5}$$

Dealaigh 32 ó 26 chun -6 a fháil.

$$-\frac{6}{5}$$

Fachtóirigh

$$-\frac{6}{5} = -1\frac{1}{5} = -1.2$$