sqrt{4/5*[(11/14+1/4)-(3/14+frac{5}{4}-frac{3}{7})]^3+{(frac{3}{2}+frac{3}{4})*[frac{9}{21}*(frac{11}{15}+frac{1}{5})]*frac{5}{3}}:frac{3}{2}} eching

$$\sqrt { \frac { 4 } { 5 } \times [ ( \frac { 11 } { 14 } + \frac { 1 } { 4 } ) - ( \frac { 3 } { 14 } + \frac { 5 } { 4 } - \frac { 3 } { 7 } ) ] ^ { 3 } + \{ ( \frac { 3 } { 2 } + \frac { 3 } { 4 } ) \times [ \frac { 9 } { 21 } \times ( \frac { 11 } { 15 } + \frac { 1 } { 5 } ) ] \times \frac { 5 } { 3 } \} : \frac { 3 } { 2 } }$$

Baholash

$$1$$

Yechim qadamlari

\frac{29}{28} olish uchun \frac{11}{14} va \frac{1}{4}'ni qo'shing.

$$\sqrt{\frac{4}{5}\left(\frac{29}{28}-\left(\frac{3}{14}+\frac{5}{4}-\frac{3}{7}\right)\right)^{3}+\frac{\left(\frac{3}{2}+\frac{3}{4}\right)\times \frac{9}{21}\left(\frac{11}{15}+\frac{1}{5}\right)\times \frac{5}{3}}{\frac{3}{2}}}$$

\frac{41}{28} olish uchun \frac{3}{14} va \frac{5}{4}'ni qo'shing.

$$\sqrt{\frac{4}{5}\left(\frac{29}{28}-\left(\frac{41}{28}-\frac{3}{7}\right)\right)^{3}+\frac{\left(\frac{3}{2}+\frac{3}{4}\right)\times \frac{9}{21}\left(\frac{11}{15}+\frac{1}{5}\right)\times \frac{5}{3}}{\frac{3}{2}}}$$

\frac{29}{28} olish uchun \frac{41}{28} dan \frac{3}{7} ni ayirish.

$$\sqrt{\frac{4}{5}\left(\frac{29}{28}-\frac{29}{28}\right)^{3}+\frac{\left(\frac{3}{2}+\frac{3}{4}\right)\times \frac{9}{21}\left(\frac{11}{15}+\frac{1}{5}\right)\times \frac{5}{3}}{\frac{3}{2}}}$$

0 olish uchun \frac{29}{28} dan \frac{29}{28} ni ayirish.

$$\sqrt{\frac{4}{5}\times 0^{3}+\frac{\left(\frac{3}{2}+\frac{3}{4}\right)\times \frac{9}{21}\left(\frac{11}{15}+\frac{1}{5}\right)\times \frac{5}{3}}{\frac{3}{2}}}$$

3 daraja ko‘rsatkichini 0 ga hisoblang va 0 ni qiymatni oling.

$$\sqrt{\frac{4}{5}\times 0+\frac{\left(\frac{3}{2}+\frac{3}{4}\right)\times \frac{9}{21}\left(\frac{11}{15}+\frac{1}{5}\right)\times \frac{5}{3}}{\frac{3}{2}}}$$

0 hosil qilish uchun \frac{4}{5} va 0 ni ko'paytirish.

$$\sqrt{0+\frac{\left(\frac{3}{2}+\frac{3}{4}\right)\times \frac{9}{21}\left(\frac{11}{15}+\frac{1}{5}\right)\times \frac{5}{3}}{\frac{3}{2}}}$$

\frac{9}{4} olish uchun \frac{3}{2} va \frac{3}{4}'ni qo'shing.

$$\sqrt{0+\frac{\frac{9}{4}\times \frac{9}{21}\left(\frac{11}{15}+\frac{1}{5}\right)\times \frac{5}{3}}{\frac{3}{2}}}$$

\frac{9}{21} ulushini 3 ni chiqarib, bekor qilish hisobiga eng past shartlarga kamaytiring.

$$\sqrt{0+\frac{\frac{9}{4}\times \frac{3}{7}\left(\frac{11}{15}+\frac{1}{5}\right)\times \frac{5}{3}}{\frac{3}{2}}}$$

\frac{27}{28} hosil qilish uchun \frac{9}{4} va \frac{3}{7} ni ko'paytirish.

$$\sqrt{0+\frac{\frac{27}{28}\left(\frac{11}{15}+\frac{1}{5}\right)\times \frac{5}{3}}{\frac{3}{2}}}$$

\frac{14}{15} olish uchun \frac{11}{15} va \frac{1}{5}'ni qo'shing.

$$\sqrt{0+\frac{\frac{27}{28}\times \frac{14}{15}\times \frac{5}{3}}{\frac{3}{2}}}$$

\frac{9}{10} hosil qilish uchun \frac{27}{28} va \frac{14}{15} ni ko'paytirish.

$$\sqrt{0+\frac{\frac{9}{10}\times \frac{5}{3}}{\frac{3}{2}}}$$

\frac{3}{2} hosil qilish uchun \frac{9}{10} va \frac{5}{3} ni ko'paytirish.

$$\sqrt{0+\frac{\frac{3}{2}}{\frac{3}{2}}}$$

1 ni olish uchun \frac{3}{2} ni \frac{3}{2} ga bo‘ling.

$$\sqrt{0+1}$$

1 olish uchun 0 va 1'ni qo'shing.

$$\sqrt{1}$$

1 ning kvadrat ildizini hisoblab, 1 natijaga ega bo‘ling.

$$1$$

Omil

$$1$$