sqrt{51+2^{2}+3^{2}}-sqrt{3^{2}+4^2}+sqrt{6^2+3^3+1^4} eching

$$\sqrt { 51 + 2 ^ { 2 } + 3 ^ { 2 } } - \sqrt { 3 ^ { 2 } + 4 ^ { 2 } } + \sqrt { 6 ^ { 2 } + 3 ^ { 3 } + 1 ^ { 4 } }$$

Baholash

$$11$$

Yechim qadamlari

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

$$\sqrt{51+4+3^{2}}-\sqrt{3^{2}+4^{2}}+\sqrt{6^{2}+3^{3}+1^{4}}$$

55 olish uchun 51 va 4'ni qo'shing.

$$\sqrt{55+3^{2}}-\sqrt{3^{2}+4^{2}}+\sqrt{6^{2}+3^{3}+1^{4}}$$

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

$$\sqrt{55+9}-\sqrt{3^{2}+4^{2}}+\sqrt{6^{2}+3^{3}+1^{4}}$$

64 olish uchun 55 va 9'ni qo'shing.

$$\sqrt{64}-\sqrt{3^{2}+4^{2}}+\sqrt{6^{2}+3^{3}+1^{4}}$$

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

$$8-\sqrt{3^{2}+4^{2}}+\sqrt{6^{2}+3^{3}+1^{4}}$$

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

$$8-\sqrt{9+4^{2}}+\sqrt{6^{2}+3^{3}+1^{4}}$$

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

$$8-\sqrt{9+16}+\sqrt{6^{2}+3^{3}+1^{4}}$$

25 olish uchun 9 va 16'ni qo'shing.

$$8-\sqrt{25}+\sqrt{6^{2}+3^{3}+1^{4}}$$

25 ning kvadrat ildizini hisoblab, 5 natijaga ega bo‘ling.

$$8-5+\sqrt{6^{2}+3^{3}+1^{4}}$$

3 olish uchun 8 dan 5 ni ayirish.

$$3+\sqrt{6^{2}+3^{3}+1^{4}}$$

2 daraja ko‘rsatkichini 6 ga hisoblang va 36 ni qiymatni oling.

$$3+\sqrt{36+3^{3}+1^{4}}$$

3 daraja ko‘rsatkichini 3 ga hisoblang va 27 ni qiymatni oling.

$$3+\sqrt{36+27+1^{4}}$$

63 olish uchun 36 va 27'ni qo'shing.

$$3+\sqrt{63+1^{4}}$$

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

$$3+\sqrt{63+1}$$

64 olish uchun 63 va 1'ni qo'shing.

$$3+\sqrt{64}$$

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

$$3+8$$

11 olish uchun 3 va 8'ni qo'shing.

$$11$$

Omil

$$11$$