frac{sqrt{5}+1}{2}*frac{sqrt{5}-1}{2} eching

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

Baholash

$$1$$

Yechim qadamlari

Suratni maxrajga va maxrajini suratga ko‘paytirish orqali \frac{\sqrt{5}+1}{2} ni \frac{\sqrt{5}-1}{2} ga ko‘paytiring.

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

Hisoblang: \left(\sqrt{5}+1\right)\left(\sqrt{5}-1\right). Ko‘paytirish qoida yordamida turli kvadratlarga aylantirilishi mumkin: \left(a-b\right)\left(a+b\right)=a^{2}-b^{2}.

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

\sqrt{5} kvadrati – 5.

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

2 daraja ko‘rsatkichini 1 ga hisoblang va 1 ni qiymatni oling.

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

4 olish uchun 5 dan 1 ni ayirish.

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

4 hosil qilish uchun 2 va 2 ni ko'paytirish.

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

1 ni olish uchun 4 ni 4 ga bo‘ling.

$$1$$

Omil

$$1$$