sqrt{{8/3-1/2-[(1+1/3)^2:4/3+frac{1}{5}]*frac{5}{46}+(2-frac{1}{4})}:frac{3}{5}} eching

$$\sqrt { \{ \frac { 8 } { 3 } - \frac { 1 } { 2 } - [ ( 1 + \frac { 1 } { 3 } ) ^ { 2 } : \frac { 4 } { 3 } + \frac { 1 } { 5 } ] \times \frac { 5 } { 46 } + ( 2 - \frac { 1 } { 4 } ) \} : \frac { 3 } { 5 } }$$

Baholash

$$\frac{5}{2}=2,5$$

Yechim qadamlari

\frac{13}{6} olish uchun \frac{8}{3} dan \frac{1}{2} ni ayirish.

$$\sqrt{\frac{\frac{13}{6}-\left(\frac{\left(1+\frac{1}{3}\right)^{2}}{\frac{4}{3}}+\frac{1}{5}\right)\times \frac{5}{46}+2-\frac{1}{4}}{\frac{3}{5}}}$$

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

$$\sqrt{\frac{\frac{13}{6}-\left(\frac{\left(\frac{4}{3}\right)^{2}}{\frac{4}{3}}+\frac{1}{5}\right)\times \frac{5}{46}+2-\frac{1}{4}}{\frac{3}{5}}}$$

2 daraja ko‘rsatkichini \frac{4}{3} ga hisoblang va \frac{16}{9} ni qiymatni oling.

$$\sqrt{\frac{\frac{13}{6}-\left(\frac{\frac{16}{9}}{\frac{4}{3}}+\frac{1}{5}\right)\times \frac{5}{46}+2-\frac{1}{4}}{\frac{3}{5}}}$$

\frac{16}{9} ni \frac{4}{3} ga bo'lish \frac{16}{9} ga k'paytirish \frac{4}{3} ga qaytarish.

$$\sqrt{\frac{\frac{13}{6}-\left(\frac{16}{9}\times \frac{3}{4}+\frac{1}{5}\right)\times \frac{5}{46}+2-\frac{1}{4}}{\frac{3}{5}}}$$

\frac{4}{3} hosil qilish uchun \frac{16}{9} va \frac{3}{4} ni ko'paytirish.

$$\sqrt{\frac{\frac{13}{6}-\left(\frac{4}{3}+\frac{1}{5}\right)\times \frac{5}{46}+2-\frac{1}{4}}{\frac{3}{5}}}$$

\frac{23}{15} olish uchun \frac{4}{3} va \frac{1}{5}'ni qo'shing.

$$\sqrt{\frac{\frac{13}{6}-\frac{23}{15}\times \frac{5}{46}+2-\frac{1}{4}}{\frac{3}{5}}}$$

\frac{1}{6} hosil qilish uchun \frac{23}{15} va \frac{5}{46} ni ko'paytirish.

$$\sqrt{\frac{\frac{13}{6}-\frac{1}{6}+2-\frac{1}{4}}{\frac{3}{5}}}$$

2 olish uchun \frac{13}{6} dan \frac{1}{6} ni ayirish.

$$\sqrt{\frac{2+2-\frac{1}{4}}{\frac{3}{5}}}$$

4 olish uchun 2 va 2'ni qo'shing.

$$\sqrt{\frac{4-\frac{1}{4}}{\frac{3}{5}}}$$

\frac{15}{4} olish uchun 4 dan \frac{1}{4} ni ayirish.

$$\sqrt{\frac{\frac{15}{4}}{\frac{3}{5}}}$$

\frac{15}{4} ni \frac{3}{5} ga bo'lish \frac{15}{4} ga k'paytirish \frac{3}{5} ga qaytarish.

$$\sqrt{\frac{15}{4}\times \frac{5}{3}}$$

\frac{25}{4} hosil qilish uchun \frac{15}{4} va \frac{5}{3} ni ko'paytirish.

$$\sqrt{\frac{25}{4}}$$

\frac{25}{4} boʻlinmasining kvadrat ildizini \frac{\sqrt{25}}{\sqrt{4}} kvadrat ildizlarining boʻlinmasi sifatida qayta yozing. Surat va maxrajni kvadrat ildizdan chiqaring.

$$\frac{5}{2}$$

Omil

$$\frac{5}{2} = 2\frac{1}{2} = 2,5$$