{left(frac{2sqrt{2}}{3}right)}^2 eching

$${ \left( \frac{ 2 \sqrt{ 2 } }{ 3 } \right) }^{ 2 }$$

Baholash

$$\frac{8}{9}\approx 0,888888889$$

Yechim qadamlari

\frac{2\sqrt{2}}{3}ni darajaga oshirish uchun, surat va maxrajni darajaga oshirib, keyin bo‘ling.

$$\frac{\left(2\sqrt{2}\right)^{2}}{3^{2}}$$

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

$$\frac{2^{2}\left(\sqrt{2}\right)^{2}}{3^{2}}$$

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

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

\sqrt{2} kvadrati – 2.

$$\frac{4\times 2}{3^{2}}$$

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

$$\frac{8}{3^{2}}$$

2 daraja ko‘rsatkichini 3 ga hisoblang va 9 ni qiymatni oling.

$$\frac{8}{9}$$

Omil

$$\frac{2 ^ {3}}{3 ^ {2}} = 0,8888888888888888$$