sqrt[2]{1+3|-(4)^2-(-8)|+2(3+(-5)^2)} eching

$$\sqrt[ 2 ] { 1 + 3 | - ( 4 ) ^ { 2 } - ( - 8 ) | + 2 ( 3 + ( - 5 ) ^ { 2 } ) }$$

Baholash

$$9$$

Yechim qadamlari

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

$$\sqrt[2]{1+3|-16-\left(-8\right)|+2\left(3+\left(-5\right)^{2}\right)}$$

-8 ning teskarisi 8 ga teng.

$$\sqrt[2]{1+3|-16+8|+2\left(3+\left(-5\right)^{2}\right)}$$

-8 olish uchun -16 va 8'ni qo'shing.

$$\sqrt[2]{1+3|-8|+2\left(3+\left(-5\right)^{2}\right)}$$

a haqiqiy sonining mutloq qiymati qachon a\geq 0 bo‘lganda, a yoki qachon a<0 bo‘lganda -a. -8 ning mutloq qiymati 8 ga teng.

$$\sqrt[2]{1+3\times 8+2\left(3+\left(-5\right)^{2}\right)}$$

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

$$\sqrt[2]{1+24+2\left(3+\left(-5\right)^{2}\right)}$$

25 olish uchun 1 va 24'ni qo'shing.

$$\sqrt[2]{25+2\left(3+\left(-5\right)^{2}\right)}$$

2 daraja ko‘rsatkichini -5 ga hisoblang va 25 ni qiymatni oling.

$$\sqrt[2]{25+2\left(3+25\right)}$$

28 olish uchun 3 va 25'ni qo'shing.

$$\sqrt[2]{25+2\times 28}$$

56 hosil qilish uchun 2 va 28 ni ko'paytirish.

$$\sqrt[2]{25+56}$$

81 olish uchun 25 va 56'ni qo'shing.

$$\sqrt[2]{81}$$

\sqrt[2]{81} ni hisoblab, 9 natijasiga ega bo‘ling.

$$9$$

Omil

$$3^{2}$$