Whakaoti i te 1/2*frac{sqrt{26}+sqrt{6}}{2}*frac{sqrt{26}-sqrt{6}}{2}

$$\frac { 1 } { 2 } \times \frac { \sqrt { 26 } + \sqrt { 6 } } { 2 } \times \frac { \sqrt { 26 } - \sqrt { 6 } } { 2 }$$

Aromātai

$$\frac{5}{2}=2.5$$

Ngā Upane Otinga

Me whakarea te \frac{1}{2} ki te \frac{\sqrt{26}+\sqrt{6}}{2} mā te whakarea taurunga ki te taurunga me te tauraro ki te tauraro.

$$\frac{\sqrt{26}+\sqrt{6}}{2\times 2}\times \frac{\sqrt{26}-\sqrt{6}}{2}$$

Me whakarea te \frac{\sqrt{26}+\sqrt{6}}{2\times 2} ki te \frac{\sqrt{26}-\sqrt{6}}{2} mā te whakarea taurunga ki te taurunga me te tauraro ki te tauraro.

$$\frac{\left(\sqrt{26}+\sqrt{6}\right)\left(\sqrt{26}-\sqrt{6}\right)}{2\times 2\times 2}$$

Whakaarohia te \left(\sqrt{26}+\sqrt{6}\right)\left(\sqrt{26}-\sqrt{6}\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}.

$$\frac{\left(\sqrt{26}\right)^{2}-\left(\sqrt{6}\right)^{2}}{2\times 2\times 2}$$

Ko te pūrua o \sqrt{26} ko 26.

$$\frac{26-\left(\sqrt{6}\right)^{2}}{2\times 2\times 2}$$

Ko te pūrua o \sqrt{6} ko 6.

$$\frac{26-6}{2\times 2\times 2}$$

Tangohia te 6 i te 26, ka 20.

$$\frac{20}{2\times 2\times 2}$$

Whakareatia te 2 ki te 2, ka 4.

$$\frac{20}{4\times 2}$$

Whakareatia te 4 ki te 2, ka 8.

$$\frac{20}{8}$$

Whakahekea te hautanga \frac{20}{8} ki ōna wāhi pāpaku rawa mā te tango me te whakakore i te 4.

$$\frac{5}{2}$$

Tauwehe

$$\frac{5}{2} = 2\frac{1}{2} = 2.5$$