2sqrt{3}+iquadsqrt{2}quad(4-8i)^2-(-4+8i)^2 eching

$$2 \sqrt { 3 } + i \quad \sqrt { 2 } \quad ( 4 - 8 i ) ^ { 2 } - ( - 4 + 8 i ) ^ { 2 }$$

Baholash

$$2\left(\sqrt{2}\left(32-24i\right)+\left(24+32i\right)+\sqrt{3}\right)\approx 141,973769607-3,882250994i$$

Yechim qadamlari

2 daraja ko‘rsatkichini 4-8i ga hisoblang va -48-64i ni qiymatni oling.

$$2\sqrt{3}+i\sqrt{2}\left(-48-64i\right)-\left(-4+8i\right)^{2}$$

64-48i hosil qilish uchun i va -48-64i ni ko'paytirish.

$$2\sqrt{3}+\left(64-48i\right)\sqrt{2}-\left(-4+8i\right)^{2}$$

2 daraja ko‘rsatkichini -4+8i ga hisoblang va -48-64i ni qiymatni oling.

$$2\sqrt{3}+\left(64-48i\right)\sqrt{2}-\left(-48-64i\right)$$

-48-64i ning teskarisi 48+64i ga teng.

$$2\sqrt{3}+\left(64-48i\right)\sqrt{2}+\left(48+64i\right)$$

Ashyoviy qism

$$2 {(\sqrt{3} + 32 \sqrt{2} + 24)} = 141,973769607$$