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

$$3 \times \frac { \sqrt { 5 } - 1 } { 2 } \times \frac { \sqrt { 5 } + 1 } { 2 }$$

Baholash

$$3$$

Yechim qadamlari

3\times \frac{\sqrt{5}-1}{2} ni yagona kasrga aylantiring.

$$\frac{3\left(\sqrt{5}-1\right)}{2}\times \frac{\sqrt{5}+1}{2}$$

Suratni maxrajga va maxrajini suratga ko‘paytirish orqali \frac{3\left(\sqrt{5}-1\right)}{2} ni \frac{\sqrt{5}+1}{2} ga ko‘paytiring.

$$\frac{3\left(\sqrt{5}-1\right)\left(\sqrt{5}+1\right)}{2\times 2}$$

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

$$\frac{3\left(\sqrt{5}-1\right)\left(\sqrt{5}+1\right)}{4}$$

3 ga \sqrt{5}-1 ni ko'paytirish orqali distributiv xususiyatdan foydalanish.

$$\frac{\left(3\sqrt{5}-3\right)\left(\sqrt{5}+1\right)}{4}$$

3\sqrt{5}-3 ifodaning har bir elementini \sqrt{5}+1 ifodaning har bir elementiga ko‘paytirish orqali taqsimot qonuni xususiyatlarini qo‘llash mumkin.

$$\frac{3\left(\sqrt{5}\right)^{2}+3\sqrt{5}-3\sqrt{5}-3}{4}$$

\sqrt{5} kvadrati – 5.

$$\frac{3\times 5+3\sqrt{5}-3\sqrt{5}-3}{4}$$

15 hosil qilish uchun 3 va 5 ni ko'paytirish.

$$\frac{15+3\sqrt{5}-3\sqrt{5}-3}{4}$$

0 ni olish uchun 3\sqrt{5} va -3\sqrt{5} ni birlashtirish.

$$\frac{15-3}{4}$$

12 olish uchun 15 dan 3 ni ayirish.

$$\frac{12}{4}$$

3 ni olish uchun 12 ni 4 ga bo‘ling.

$$3$$

Omil

$$3$$