frac{sqrt{6}+sqrt{2}}{4}*frac{sqrt{6}-sqrt{2}}{4} eching

$$\frac { \sqrt { 6 } + \sqrt { 2 } } { 4 } \times \frac { \sqrt { 6 } - \sqrt { 2 } } { 4 }$$

Baholash

$$\frac{1}{4}=0,25$$

Yechim qadamlari

Suratni maxrajga va maxrajini suratga ko‘paytirish orqali \frac{\sqrt{6}+\sqrt{2}}{4} ni \frac{\sqrt{6}-\sqrt{2}}{4} ga ko‘paytiring.

$$\frac{\left(\sqrt{6}+\sqrt{2}\right)\left(\sqrt{6}-\sqrt{2}\right)}{4\times 4}$$

Hisoblang: \left(\sqrt{6}+\sqrt{2}\right)\left(\sqrt{6}-\sqrt{2}\right). Ko‘paytirish qoida yordamida turli kvadratlarga aylantirilishi mumkin: \left(a-b\right)\left(a+b\right)=a^{2}-b^{2}.

$$\frac{\left(\sqrt{6}\right)^{2}-\left(\sqrt{2}\right)^{2}}{4\times 4}$$

\sqrt{6} kvadrati – 6.

$$\frac{6-\left(\sqrt{2}\right)^{2}}{4\times 4}$$

\sqrt{2} kvadrati – 2.

$$\frac{6-2}{4\times 4}$$

4 olish uchun 6 dan 2 ni ayirish.

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

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

$$\frac{4}{16}$$

\frac{4}{16} ulushini 4 ni chiqarib, bekor qilish hisobiga eng past shartlarga kamaytiring.

$$\frac{1}{4}$$

Omil

$$\frac{1}{2 ^ {2}} = 0,25$$