(4sqrt{2}-sqrt{14})(4sqrt{2}+sqrt{14}) eching

$$( 4 \sqrt { 2 } - \sqrt { 14 } ) ( 4 \sqrt { 2 } + \sqrt { 14 } )$$

Baholash

$$18$$

Yechim qadamlari

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

$$\left(4\sqrt{2}\right)^{2}-\left(\sqrt{14}\right)^{2}$$

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

$$4^{2}\left(\sqrt{2}\right)^{2}-\left(\sqrt{14}\right)^{2}$$

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

$$16\left(\sqrt{2}\right)^{2}-\left(\sqrt{14}\right)^{2}$$

\sqrt{2} kvadrati – 2.

$$16\times 2-\left(\sqrt{14}\right)^{2}$$

32 hosil qilish uchun 16 va 2 ni ko'paytirish.

$$32-\left(\sqrt{14}\right)^{2}$$

\sqrt{14} kvadrati – 14.

$$32-14$$

18 olish uchun 32 dan 14 ni ayirish.

$$18$$

Omil

$$2\times 3^{2}$$