(frac{15sqrt{3}}{4})^2 eching

$$( \frac { 15 \sqrt { 3 } } { 4 } ) ^ { 2 }$$

Baholash

$$\frac{675}{16}=42,1875$$

Yechim qadamlari

\frac{15\sqrt{3}}{4}ni darajaga oshirish uchun, surat va maxrajni darajaga oshirib, keyin bo‘ling.

$$\frac{\left(15\sqrt{3}\right)^{2}}{4^{2}}$$

\left(15\sqrt{3}\right)^{2} ni kengaytirish.

$$\frac{15^{2}\left(\sqrt{3}\right)^{2}}{4^{2}}$$

2 daraja ko‘rsatkichini 15 ga hisoblang va 225 ni qiymatni oling.

$$\frac{225\left(\sqrt{3}\right)^{2}}{4^{2}}$$

\sqrt{3} kvadrati – 3.

$$\frac{225\times 3}{4^{2}}$$

675 hosil qilish uchun 225 va 3 ni ko'paytirish.

$$\frac{675}{4^{2}}$$

2 daraja ko‘rsatkichini 4 ga hisoblang va 16 ni qiymatni oling.

$$\frac{675}{16}$$

Omil

$$\frac{3 ^ {3} \cdot 5 ^ {2}}{2 ^ {4}} = 42\frac{3}{16} = 42,1875$$