(frac{2sqrt{5}}{5})^2 eching

$$( \frac { 2 \sqrt { 5 } } { 5 } ) ^ { 2 }$$

Baholash

$$\frac{4}{5}=0,8$$

Yechim qadamlari

\frac{2\sqrt{5}}{5}ni darajaga oshirish uchun, surat va maxrajni darajaga oshirib, keyin bo‘ling.

$$\frac{\left(2\sqrt{5}\right)^{2}}{5^{2}}$$

\left(2\sqrt{5}\right)^{2} ni kengaytirish.

$$\frac{2^{2}\left(\sqrt{5}\right)^{2}}{5^{2}}$$

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

$$\frac{4\left(\sqrt{5}\right)^{2}}{5^{2}}$$

\sqrt{5} kvadrati – 5.

$$\frac{4\times 5}{5^{2}}$$

20 hosil qilish uchun 4 va 5 ni ko'paytirish.

$$\frac{20}{5^{2}}$$

2 daraja ko‘rsatkichini 5 ga hisoblang va 25 ni qiymatni oling.

$$\frac{20}{25}$$

\frac{20}{25} ulushini 5 ni chiqarib, bekor qilish hisobiga eng past shartlarga kamaytiring.

$$\frac{4}{5}$$

Omil

$$\frac{2 ^ {2}}{5} = 0,8$$