1/2*frac{sqrt{26}+sqrt{6}}{2}*frac{sqrt{26}-sqrt{6}}{2} eching

$$\frac { 1 } { 2 } \times \frac { \sqrt { 26 } + \sqrt { 6 } } { 2 } \times \frac { \sqrt { 26 } - \sqrt { 6 } } { 2 }$$

Baholash

$$\frac{5}{2}=2,5$$

Yechim qadamlari

Suratni maxrajga va maxrajini suratga ko‘paytirish orqali \frac{1}{2} ni \frac{\sqrt{26}+\sqrt{6}}{2} ga ko‘paytiring.

$$\frac{\sqrt{26}+\sqrt{6}}{2\times 2}\times \frac{\sqrt{26}-\sqrt{6}}{2}$$

Suratni maxrajga va maxrajini suratga ko‘paytirish orqali \frac{\sqrt{26}+\sqrt{6}}{2\times 2} ni \frac{\sqrt{26}-\sqrt{6}}{2} ga ko‘paytiring.

$$\frac{\left(\sqrt{26}+\sqrt{6}\right)\left(\sqrt{26}-\sqrt{6}\right)}{2\times 2\times 2}$$

Hisoblang: \left(\sqrt{26}+\sqrt{6}\right)\left(\sqrt{26}-\sqrt{6}\right). Ko‘paytirish qoida yordamida turli kvadratlarga aylantirilishi mumkin: \left(a-b\right)\left(a+b\right)=a^{2}-b^{2}.

$$\frac{\left(\sqrt{26}\right)^{2}-\left(\sqrt{6}\right)^{2}}{2\times 2\times 2}$$

\sqrt{26} kvadrati – 26.

$$\frac{26-\left(\sqrt{6}\right)^{2}}{2\times 2\times 2}$$

\sqrt{6} kvadrati – 6.

$$\frac{26-6}{2\times 2\times 2}$$

20 olish uchun 26 dan 6 ni ayirish.

$$\frac{20}{2\times 2\times 2}$$

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

$$\frac{20}{4\times 2}$$

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

$$\frac{20}{8}$$

\frac{20}{8} ulushini 4 ni chiqarib, bekor qilish hisobiga eng past shartlarga kamaytiring.

$$\frac{5}{2}$$

Omil

$$\frac{5}{2} = 2\frac{1}{2} = 2,5$$