sqrt[3]{-125/64}+sqrt{1-7/16}-sqrt[3]{-343/8} eching

$$\sqrt[ 3 ] { - \frac { 125 } { 64 } } + \sqrt { 1 - \frac { 7 } { 16 } } - \sqrt[ 3 ] { - \frac { 343 } { 8 } }$$

Baholash

$$3$$

Yechim qadamlari

\sqrt[3]{-\frac{125}{64}} ni hisoblab, -\frac{5}{4} natijasiga ega bo‘ling.

$$-\frac{5}{4}+\sqrt{1-\frac{7}{16}}-\sqrt[3]{-\frac{343}{8}}$$

\frac{9}{16} olish uchun 1 dan \frac{7}{16} ni ayirish.

$$-\frac{5}{4}+\sqrt{\frac{9}{16}}-\sqrt[3]{-\frac{343}{8}}$$

\frac{9}{16} boʻlinmasining kvadrat ildizini \frac{\sqrt{9}}{\sqrt{16}} kvadrat ildizlarining boʻlinmasi sifatida qayta yozing. Surat va maxrajni kvadrat ildizdan chiqaring.

$$-\frac{5}{4}+\frac{3}{4}-\sqrt[3]{-\frac{343}{8}}$$

-\frac{1}{2} olish uchun -\frac{5}{4} va \frac{3}{4}'ni qo'shing.

$$-\frac{1}{2}-\sqrt[3]{-\frac{343}{8}}$$

\sqrt[3]{-\frac{343}{8}} ni hisoblab, -\frac{7}{2} natijasiga ega bo‘ling.

$$-\frac{1}{2}-\left(-\frac{7}{2}\right)$$

-\frac{7}{2} ning teskarisi \frac{7}{2} ga teng.

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

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

$$3$$

Omil

$$3$$