sqrt{2^3*3-6*(7*3-2*3^2)+3^2*2^3-{11}^3div{11}^2} eching

$$\sqrt{ { 2 }^{ 3 } \times 3-6 \times (7 \times 3-2 \times { 3 }^{ 2 } )+ { 3 }^{ 2 } \times { 2 }^{ 3 } - { 11 }^{ 3 } \div { 11 }^{ 2 } }$$

Baholash

$$\sqrt{67}\approx 8,185352772$$

Yechim qadamlari

Ayni asosning daraja ko‘rsatkichini bo‘lish uchun maxrajning darajasini surat darajasidan ayiring. 3 dan 2 ni ayirib, 1 ni oling.

$$\sqrt{2^{3}\times 3-6\left(7\times 3-2\times 3^{2}\right)+3^{2}\times 2^{3}-11^{1}}$$

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

$$\sqrt{8\times 3-6\left(7\times 3-2\times 3^{2}\right)+3^{2}\times 2^{3}-11^{1}}$$

24 hosil qilish uchun 8 va 3 ni ko'paytirish.

$$\sqrt{24-6\left(7\times 3-2\times 3^{2}\right)+3^{2}\times 2^{3}-11^{1}}$$

21 hosil qilish uchun 7 va 3 ni ko'paytirish.

$$\sqrt{24-6\left(21-2\times 3^{2}\right)+3^{2}\times 2^{3}-11^{1}}$$

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

$$\sqrt{24-6\left(21-2\times 9\right)+3^{2}\times 2^{3}-11^{1}}$$

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

$$\sqrt{24-6\left(21-18\right)+3^{2}\times 2^{3}-11^{1}}$$

3 olish uchun 21 dan 18 ni ayirish.

$$\sqrt{24-6\times 3+3^{2}\times 2^{3}-11^{1}}$$

18 hosil qilish uchun 6 va 3 ni ko'paytirish.

$$\sqrt{24-18+3^{2}\times 2^{3}-11^{1}}$$

6 olish uchun 24 dan 18 ni ayirish.

$$\sqrt{6+3^{2}\times 2^{3}-11^{1}}$$

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

$$\sqrt{6+9\times 2^{3}-11^{1}}$$

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

$$\sqrt{6+9\times 8-11^{1}}$$

72 hosil qilish uchun 9 va 8 ni ko'paytirish.

$$\sqrt{6+72-11^{1}}$$

78 olish uchun 6 va 72'ni qo'shing.

$$\sqrt{78-11^{1}}$$

1 daraja ko‘rsatkichini 11 ga hisoblang va 11 ni qiymatni oling.

$$\sqrt{78-11}$$

67 olish uchun 78 dan 11 ni ayirish.

$$\sqrt{67}$$