sqrt[3]{0125}-sqrt{31/16}+sqrt[3]{(1-7/8)^2}-|-1/2| eching

$$\sqrt[ 3 ] { 0125 } - \sqrt { 3 \frac { 1 } { 16 } } + \sqrt[ 3 ] { ( 1 - \frac { 7 } { 8 } ) ^ { 2 } } - | - \frac { 1 } { 2 } |$$

Baholash

$$-2$$

Yechim qadamlari

0 hosil qilish uchun 0 va 125 ni ko'paytirish.

$$\sqrt[3]{0}-\sqrt{\frac{3\times 16+1}{16}}+\sqrt[3]{\left(1-\frac{7}{8}\right)^{2}}-|-\frac{1}{2}|$$

\sqrt[3]{0} ni hisoblab, 0 natijasiga ega bo‘ling.

$$0-\sqrt{\frac{3\times 16+1}{16}}+\sqrt[3]{\left(1-\frac{7}{8}\right)^{2}}-|-\frac{1}{2}|$$

48 hosil qilish uchun 3 va 16 ni ko'paytirish.

$$0-\sqrt{\frac{48+1}{16}}+\sqrt[3]{\left(1-\frac{7}{8}\right)^{2}}-|-\frac{1}{2}|$$

49 olish uchun 48 va 1'ni qo'shing.

$$0-\sqrt{\frac{49}{16}}+\sqrt[3]{\left(1-\frac{7}{8}\right)^{2}}-|-\frac{1}{2}|$$

\frac{49}{16} boʻlinmasining kvadrat ildizini \frac{\sqrt{49}}{\sqrt{16}} kvadrat ildizlarining boʻlinmasi sifatida qayta yozing. Surat va maxrajni kvadrat ildizdan chiqaring.

$$0-\frac{7}{4}+\sqrt[3]{\left(1-\frac{7}{8}\right)^{2}}-|-\frac{1}{2}|$$

-\frac{7}{4} olish uchun 0 dan \frac{7}{4} ni ayirish.

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

\frac{1}{8} olish uchun 1 dan \frac{7}{8} ni ayirish.

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

2 daraja ko‘rsatkichini \frac{1}{8} ga hisoblang va \frac{1}{64} ni qiymatni oling.

$$-\frac{7}{4}+\sqrt[3]{\frac{1}{64}}-|-\frac{1}{2}|$$

\sqrt[3]{\frac{1}{64}} ni hisoblab, \frac{1}{4} natijasiga ega bo‘ling.

$$-\frac{7}{4}+\frac{1}{4}-|-\frac{1}{2}|$$

-\frac{3}{2} olish uchun -\frac{7}{4} va \frac{1}{4}'ni qo'shing.

$$-\frac{3}{2}-|-\frac{1}{2}|$$

a haqiqiy sonining mutloq qiymati qachon a\geq 0 bo‘lganda, a yoki qachon a<0 bo‘lganda -a. -\frac{1}{2} ning mutloq qiymati \frac{1}{2} ga teng.

$$-\frac{3}{2}-\frac{1}{2}$$

-2 olish uchun -\frac{3}{2} dan \frac{1}{2} ni ayirish.

$$-2$$

Omil

$$-2$$