sqrt{sqrt{9}+-1^2}+sqrt[3]{-8}*sqrt{121}+(5+-2^4*-1)div-7 eching

$$\sqrt{ \sqrt{ 9 } + { -1 }^{ 2 } } + \sqrt[3]{ -8 } \times \sqrt{ 121 } +(5+ { -2 }^{ 4 } \times -1) \div -7$$

Baholash

$$-\frac{129}{7}\approx -18,428571429$$

Yechim qadamlari

9 ning kvadrat ildizini hisoblab, 3 natijaga ega bo‘ling.

$$\sqrt{3+\left(-1\right)^{2}}+\sqrt[3]{-8}\sqrt{121}+\frac{5+\left(-2\right)^{4}\left(-1\right)}{-7}$$

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

$$\sqrt{3+1}+\sqrt[3]{-8}\sqrt{121}+\frac{5+\left(-2\right)^{4}\left(-1\right)}{-7}$$

4 olish uchun 3 va 1'ni qo'shing.

$$\sqrt{4}+\sqrt[3]{-8}\sqrt{121}+\frac{5+\left(-2\right)^{4}\left(-1\right)}{-7}$$

4 ning kvadrat ildizini hisoblab, 2 natijaga ega bo‘ling.

$$2+\sqrt[3]{-8}\sqrt{121}+\frac{5+\left(-2\right)^{4}\left(-1\right)}{-7}$$

\sqrt[3]{-8} ni hisoblab, -2 natijasiga ega bo‘ling.

$$2-2\sqrt{121}+\frac{5+\left(-2\right)^{4}\left(-1\right)}{-7}$$

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

$$2-2\times 11+\frac{5+\left(-2\right)^{4}\left(-1\right)}{-7}$$

-22 hosil qilish uchun -2 va 11 ni ko'paytirish.

$$2-22+\frac{5+\left(-2\right)^{4}\left(-1\right)}{-7}$$

-20 olish uchun 2 dan 22 ni ayirish.

$$-20+\frac{5+\left(-2\right)^{4}\left(-1\right)}{-7}$$

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

$$-20+\frac{5+16\left(-1\right)}{-7}$$

-16 hosil qilish uchun 16 va -1 ni ko'paytirish.

$$-20+\frac{5-16}{-7}$$

-11 olish uchun 5 dan 16 ni ayirish.

$$-20+\frac{-11}{-7}$$

Ikkala surat va maxrajdan manfiy belgini olib tashlash bilan \frac{-11}{-7} kasrini \frac{11}{7} ga soddalashtirish mumkin.

$$-20+\frac{11}{7}$$

-\frac{129}{7} olish uchun -20 va \frac{11}{7}'ni qo'shing.

$$-\frac{129}{7}$$

Omil

$$-\frac{129}{7} = -18\frac{3}{7} = -18,428571428571427$$