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

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

Baholash

$$\frac{9}{2}=4,5$$

Yechim qadamlari

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

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

\left(3\sqrt{2}\right)^{2} ni kengaytirish.

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

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

$$\frac{9\left(\sqrt{2}\right)^{2}}{2^{2}}$$

\sqrt{2} kvadrati – 2.

$$\frac{9\times 2}{2^{2}}$$

18 hosil qilish uchun 9 va 2 ni ko'paytirish.

$$\frac{18}{2^{2}}$$

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

$$\frac{18}{4}$$

\frac{18}{4} ulushini 2 ni chiqarib, bekor qilish hisobiga eng past shartlarga kamaytiring.

$$\frac{9}{2}$$

Omil

$$\frac{3 ^ {2}}{2} = 4\frac{1}{2} = 4,5$$