sqrt{64}-(27:4+24:6)+2^3-3^2= eching

$$\sqrt { 64 } - ( 27 : 4 + 24 : 6 ) + 2 ^ { 3 } - 3 ^ { 2 } =$$

Baholash

$$-\frac{15}{4}=-3,75$$

Yechim qadamlari

64 ning kvadrat ildizini hisoblab, 8 natijaga ega bo‘ling.

$$8-\left(\frac{27}{4}+\frac{24}{6}\right)+2^{3}-3^{2}$$

4 ni olish uchun 24 ni 6 ga bo‘ling.

$$8-\left(\frac{27}{4}+4\right)+2^{3}-3^{2}$$

4 ni \frac{16}{4} kasrga o‘giring.

$$8-\left(\frac{27}{4}+\frac{16}{4}\right)+2^{3}-3^{2}$$

\frac{27}{4} va \frac{16}{4} da bir xil maxraji bor, ularning suratini qo‘shish orqali qo‘shing.

$$8-\frac{27+16}{4}+2^{3}-3^{2}$$

43 olish uchun 27 va 16'ni qo'shing.

$$8-\frac{43}{4}+2^{3}-3^{2}$$

8 ni \frac{32}{4} kasrga o‘giring.

$$\frac{32}{4}-\frac{43}{4}+2^{3}-3^{2}$$

\frac{32}{4} va \frac{43}{4} da bir xil maxraji bor, ularning suratini ayirish orqali ayiring.

$$\frac{32-43}{4}+2^{3}-3^{2}$$

-11 olish uchun 32 dan 43 ni ayirish.

$$-\frac{11}{4}+2^{3}-3^{2}$$

3 daraja ko‘rsatkichini 2 ga hisoblang va 8 ni qiymatni oling.

$$-\frac{11}{4}+8-3^{2}$$

8 ni \frac{32}{4} kasrga o‘giring.

$$-\frac{11}{4}+\frac{32}{4}-3^{2}$$

-\frac{11}{4} va \frac{32}{4} da bir xil maxraji bor, ularning suratini qo‘shish orqali qo‘shing.

$$\frac{-11+32}{4}-3^{2}$$

21 olish uchun -11 va 32'ni qo'shing.

$$\frac{21}{4}-3^{2}$$

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

$$\frac{21}{4}-9$$

9 ni \frac{36}{4} kasrga o‘giring.

$$\frac{21}{4}-\frac{36}{4}$$

\frac{21}{4} va \frac{36}{4} da bir xil maxraji bor, ularning suratini ayirish orqali ayiring.

$$\frac{21-36}{4}$$

-15 olish uchun 21 dan 36 ni ayirish.

$$-\frac{15}{4}$$

Omil

$$-\frac{15}{4} = -3\frac{3}{4} = -3,75$$