Whakaoti i te frac{sqrt{6}+sqrt{2}}{4}*frac{sqrt{6}-sqrt{2}}{4}

$$\frac { \sqrt { 6 } + \sqrt { 2 } } { 4 } \times \frac { \sqrt { 6 } - \sqrt { 2 } } { 4 }$$

Aromātai

$$\frac{1}{4}=0.25$$

Ngā Upane Otinga

Me whakarea te \frac{\sqrt{6}+\sqrt{2}}{4} ki te \frac{\sqrt{6}-\sqrt{2}}{4} mā te whakarea taurunga ki te taurunga me te tauraro ki te tauraro.

$$\frac{\left(\sqrt{6}+\sqrt{2}\right)\left(\sqrt{6}-\sqrt{2}\right)}{4\times 4}$$

Whakaarohia te \left(\sqrt{6}+\sqrt{2}\right)\left(\sqrt{6}-\sqrt{2}\right). Ka taea te whakareanga te panoni ki te rerekētanga o ngā pūrua mā te ture: \left(a-b\right)\left(a+b\right)=a^{2}-b^{2}.

$$\frac{\left(\sqrt{6}\right)^{2}-\left(\sqrt{2}\right)^{2}}{4\times 4}$$

Ko te pūrua o \sqrt{6} ko 6.

$$\frac{6-\left(\sqrt{2}\right)^{2}}{4\times 4}$$

Ko te pūrua o \sqrt{2} ko 2.

$$\frac{6-2}{4\times 4}$$

Tangohia te 2 i te 6, ka 4.

$$\frac{4}{4\times 4}$$

Whakareatia te 4 ki te 4, ka 16.

$$\frac{4}{16}$$

Whakahekea te hautanga \frac{4}{16} ki ōna wāhi pāpaku rawa mā te tango me te whakakore i te 4.

$$\frac{1}{4}$$

Tauwehe

$$\frac{1}{2 ^ {2}} = 0.25$$