Whakaoti i te frac{sqrt{5}+1}{2}*frac{sqrt{5}-1}{2}

$$\frac { \sqrt { 5 } + 1 } { 2 } \cdot \frac { \sqrt { 5 } - 1 } { 2 }$$

Aromātai

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Ngā Upane Otinga

Me whakarea te \frac{\sqrt{5}+1}{2} ki te \frac{\sqrt{5}-1}{2} mā te whakarea taurunga ki te taurunga me te tauraro ki te tauraro.

$$\frac{\left(\sqrt{5}+1\right)\left(\sqrt{5}-1\right)}{2\times 2}$$

Whakaarohia te \left(\sqrt{5}+1\right)\left(\sqrt{5}-1\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}.

$$\frac{\left(\sqrt{5}\right)^{2}-1^{2}}{2\times 2}$$

Ko te pūrua o \sqrt{5} ko 5.

$$\frac{5-1^{2}}{2\times 2}$$

Tātaihia te 1 mā te pū o 2, kia riro ko 1.

$$\frac{5-1}{2\times 2}$$

Tangohia te 1 i te 5, ka 4.

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

Whakareatia te 2 ki te 2, ka 4.

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

Whakawehea te 4 ki te 4, kia riro ko 1.

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Tauwehe

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