(3/4)^2+(4/5)^2= eching

$$( \frac { 3 } { 4 } ) ^ { 2 } + ( \frac { 4 } { 5 } ) ^ { 2 } =$$

Baholash

$$\frac{481}{400}=1,2025$$

Yechim qadamlari

2 daraja ko‘rsatkichini \frac{3}{4} ga hisoblang va \frac{9}{16} ni qiymatni oling.

$$\frac{9}{16}+\left(\frac{4}{5}\right)^{2}$$

2 daraja ko‘rsatkichini \frac{4}{5} ga hisoblang va \frac{16}{25} ni qiymatni oling.

$$\frac{9}{16}+\frac{16}{25}$$

16 va 25 ning eng kichik umumiy karralisi 400 ga teng. \frac{9}{16} va \frac{16}{25} ni 400 maxraj bilan kasrlarga aylantirib oling.

$$\frac{225}{400}+\frac{256}{400}$$

\frac{225}{400} va \frac{256}{400} da bir xil maxraji bor, ularning suratini qo‘shish orqali qo‘shing.

$$\frac{225+256}{400}$$

481 olish uchun 225 va 256'ni qo'shing.

$$\frac{481}{400}$$

Omil

$$\frac{13 \cdot 37}{2 ^ {4} \cdot 5 ^ {2}} = 1\frac{81}{400} = 1,2025$$