sqrt{[(13)^{2}-(07)^{2}+32]^2:11^2*5+[(28)^2-023]*10^2} eching

$$\sqrt { [ ( 13 ) ^ { 2 } - ( 07 ) ^ { 2 } + 32 ] ^ { 2 } : 11 ^ { 2 } \cdot 5 + [ ( 28 ) ^ { 2 } - 023 ] \cdot 10 ^ { 2 } }$$

Baholash

$$\frac{\sqrt{9688405}}{11}\approx 282,965479891$$

Yechim qadamlari

2 daraja ko‘rsatkichini 13 ga hisoblang va 169 ni qiymatni oling.

$$\sqrt{\frac{\left(169-\left(0\times 7\right)^{2}+32\right)^{2}}{11^{2}}\times 5+\left(28^{2}-0\times 23\right)\times 10^{2}}$$

0 hosil qilish uchun 0 va 7 ni ko'paytirish.

$$\sqrt{\frac{\left(169-0^{2}+32\right)^{2}}{11^{2}}\times 5+\left(28^{2}-0\times 23\right)\times 10^{2}}$$

2 daraja ko‘rsatkichini 0 ga hisoblang va 0 ni qiymatni oling.

$$\sqrt{\frac{\left(169-0+32\right)^{2}}{11^{2}}\times 5+\left(28^{2}-0\times 23\right)\times 10^{2}}$$

169 olish uchun 169 dan 0 ni ayirish.

$$\sqrt{\frac{\left(169+32\right)^{2}}{11^{2}}\times 5+\left(28^{2}-0\times 23\right)\times 10^{2}}$$

201 olish uchun 169 va 32'ni qo'shing.

$$\sqrt{\frac{201^{2}}{11^{2}}\times 5+\left(28^{2}-0\times 23\right)\times 10^{2}}$$

2 daraja ko‘rsatkichini 201 ga hisoblang va 40401 ni qiymatni oling.

$$\sqrt{\frac{40401}{11^{2}}\times 5+\left(28^{2}-0\times 23\right)\times 10^{2}}$$

2 daraja ko‘rsatkichini 11 ga hisoblang va 121 ni qiymatni oling.

$$\sqrt{\frac{40401}{121}\times 5+\left(28^{2}-0\times 23\right)\times 10^{2}}$$

\frac{202005}{121} hosil qilish uchun \frac{40401}{121} va 5 ni ko'paytirish.

$$\sqrt{\frac{202005}{121}+\left(28^{2}-0\times 23\right)\times 10^{2}}$$

2 daraja ko‘rsatkichini 28 ga hisoblang va 784 ni qiymatni oling.

$$\sqrt{\frac{202005}{121}+\left(784-0\times 23\right)\times 10^{2}}$$

0 hosil qilish uchun 0 va 23 ni ko'paytirish.

$$\sqrt{\frac{202005}{121}+\left(784-0\right)\times 10^{2}}$$

784 olish uchun 784 dan 0 ni ayirish.

$$\sqrt{\frac{202005}{121}+784\times 10^{2}}$$

2 daraja ko‘rsatkichini 10 ga hisoblang va 100 ni qiymatni oling.

$$\sqrt{\frac{202005}{121}+784\times 100}$$

78400 hosil qilish uchun 784 va 100 ni ko'paytirish.

$$\sqrt{\frac{202005}{121}+78400}$$

\frac{9688405}{121} olish uchun \frac{202005}{121} va 78400'ni qo'shing.

$$\sqrt{\frac{9688405}{121}}$$

\sqrt{\frac{9688405}{121}} boʻlinmasining kvadrat ildizini \frac{\sqrt{9688405}}{\sqrt{121}} kvadrat ildizlarining boʻlinmasi sifatida qayta yozing.

$$\frac{\sqrt{9688405}}{\sqrt{121}}$$

121 ning kvadrat ildizini hisoblab, 11 natijaga ega bo‘ling.

$$\frac{\sqrt{9688405}}{11}$$