(4sqrt{3}+1)(8*frac{sqrt{3}}{2}-1) eching

$$( 4 \sqrt { 3 } + 1 ) ( 8 \times \frac { \sqrt { 3 } } { 2 } - 1 )$$

Baholash

$$47$$

Yechim qadamlari

8 va 2 ichida eng katta umumiy 2 faktorini bekor qiling.

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

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

$$\left(4\sqrt{3}\right)^{2}-1^{2}$$

\left(4\sqrt{3}\right)^{2} ni kengaytirish.

$$4^{2}\left(\sqrt{3}\right)^{2}-1^{2}$$

2 daraja ko‘rsatkichini 4 ga hisoblang va 16 ni qiymatni oling.

$$16\left(\sqrt{3}\right)^{2}-1^{2}$$

\sqrt{3} kvadrati – 3.

$$16\times 3-1^{2}$$

48 hosil qilish uchun 16 va 3 ni ko'paytirish.

$$48-1^{2}$$

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

$$48-1$$

47 olish uchun 48 dan 1 ni ayirish.

$$47$$

Omil

$$47$$