Réitigh 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}}

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

Luacháil

$$1$$

Céimeanna Réitigh

Suimigh \frac{11}{14} agus \frac{1}{4} chun \frac{29}{28} a fháil.

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

Suimigh \frac{3}{14} agus \frac{5}{4} chun \frac{41}{28} a fháil.

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

Dealaigh \frac{3}{7} ó \frac{41}{28} chun \frac{29}{28} a fháil.

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

Dealaigh \frac{29}{28} ó \frac{29}{28} chun 0 a fháil.

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

Ríomh cumhacht 0 de 3 agus faigh 0.

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

Méadaigh \frac{4}{5} agus 0 chun 0 a fháil.

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

Suimigh \frac{3}{2} agus \frac{3}{4} chun \frac{9}{4} a fháil.

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

Laghdaigh an codán \frac{9}{21} chuig na téarmaí is ísle trí 3 a bhaint agus a chealú.

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

Méadaigh \frac{9}{4} agus \frac{3}{7} chun \frac{27}{28} a fháil.

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

Suimigh \frac{11}{15} agus \frac{1}{5} chun \frac{14}{15} a fháil.

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

Méadaigh \frac{27}{28} agus \frac{14}{15} chun \frac{9}{10} a fháil.

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

Méadaigh \frac{9}{10} agus \frac{5}{3} chun \frac{3}{2} a fháil.

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

Roinn \frac{3}{2} faoi \frac{3}{2} chun 1 a fháil.

$$\sqrt{0+1}$$

Suimigh 0 agus 1 chun 1 a fháil.

$$\sqrt{1}$$

Áirigh fréamh chearnach 1 agus faigh 1.

$$1$$

Fachtóirigh

$$1$$