Whakaoti i te sqrt{left(21/2-1/6+2/9right)9-11/4}

$$\sqrt{ \left( 2 \frac{ 1 }{ 2 } - \frac{ 1 }{ 6 } + \frac{ 2 }{ 9 } \right) 9- \frac{ 11 }{ 4 } }$$

Aromātai

$$\frac{9}{2}=4.5$$

Ngā Upane Otinga

Whakareatia te 2 ki te 2, ka 4.

$$\sqrt{\left(\frac{4+1}{2}-\frac{1}{6}+\frac{2}{9}\right)\times 9-\frac{11}{4}}$$

Tāpirihia te 4 ki te 1, ka 5.

$$\sqrt{\left(\frac{5}{2}-\frac{1}{6}+\frac{2}{9}\right)\times 9-\frac{11}{4}}$$

Ko te maha noa iti rawa atu o 2 me 6 ko 6. Me tahuri \frac{5}{2} me \frac{1}{6} ki te hautau me te tautūnga 6.

$$\sqrt{\left(\frac{15}{6}-\frac{1}{6}+\frac{2}{9}\right)\times 9-\frac{11}{4}}$$

Tā te mea he rite te tauraro o \frac{15}{6} me \frac{1}{6}, me tango rāua mā te tango i ō raua taurunga.

$$\sqrt{\left(\frac{15-1}{6}+\frac{2}{9}\right)\times 9-\frac{11}{4}}$$

Tangohia te 1 i te 15, ka 14.

$$\sqrt{\left(\frac{14}{6}+\frac{2}{9}\right)\times 9-\frac{11}{4}}$$

Whakahekea te hautanga \frac{14}{6} ki ōna wāhi pāpaku rawa mā te tango me te whakakore i te 2.

$$\sqrt{\left(\frac{7}{3}+\frac{2}{9}\right)\times 9-\frac{11}{4}}$$

Ko te maha noa iti rawa atu o 3 me 9 ko 9. Me tahuri \frac{7}{3} me \frac{2}{9} ki te hautau me te tautūnga 9.

$$\sqrt{\left(\frac{21}{9}+\frac{2}{9}\right)\times 9-\frac{11}{4}}$$

Tā te mea he rite te tauraro o \frac{21}{9} me \frac{2}{9}, me tāpiri rāua mā te tāpiri i ō raua taurunga.

$$\sqrt{\frac{21+2}{9}\times 9-\frac{11}{4}}$$

Tāpirihia te 21 ki te 2, ka 23.

$$\sqrt{\frac{23}{9}\times 9-\frac{11}{4}}$$

Me whakakore te 9 me te 9.

$$\sqrt{23-\frac{11}{4}}$$

Me tahuri te 23 ki te hautau \frac{92}{4}.

$$\sqrt{\frac{92}{4}-\frac{11}{4}}$$

Tā te mea he rite te tauraro o \frac{92}{4} me \frac{11}{4}, me tango rāua mā te tango i ō raua taurunga.

$$\sqrt{\frac{92-11}{4}}$$

Tangohia te 11 i te 92, ka 81.

$$\sqrt{\frac{81}{4}}$$

Tuhia anō te pūtake rua o te whakawehenga \frac{81}{4} hei whakawehenga o ngā pūtake rua \frac{\sqrt{81}}{\sqrt{4}}. Tuhia te pūtakerua o te taurunga me te tauraro.

$$\frac{9}{2}$$

Tauwehe

$$\frac{3 ^ {2}}{2} = 4\frac{1}{2} = 4.5$$