Whakaoti i te 1-sqrt{1/3:2/5-7/18}=

$$1 - \sqrt { \frac { 1 } { 3 } : \frac { 2 } { 5 } - \frac { 7 } { 18 } } =$$

Aromātai

$$\frac{1}{3}\approx 0.333333333$$

Ngā Upane Otinga

Whakawehe \frac{1}{3} ki te \frac{2}{5} mā te whakarea \frac{1}{3} ki te tau huripoki o \frac{2}{5}.

$$1-\sqrt{\frac{1}{3}\times \frac{5}{2}-\frac{7}{18}}$$

Me whakarea te \frac{1}{3} ki te \frac{5}{2} mā te whakarea taurunga ki te taurunga me te tauraro ki te tauraro.

$$1-\sqrt{\frac{1\times 5}{3\times 2}-\frac{7}{18}}$$

Mahia ngā whakarea i roto i te hautanga \frac{1\times 5}{3\times 2}.

$$1-\sqrt{\frac{5}{6}-\frac{7}{18}}$$

Ko te maha noa iti rawa atu o 6 me 18 ko 18. Me tahuri \frac{5}{6} me \frac{7}{18} ki te hautau me te tautūnga 18.

$$1-\sqrt{\frac{15}{18}-\frac{7}{18}}$$

Tā te mea he rite te tauraro o \frac{15}{18} me \frac{7}{18}, me tango rāua mā te tango i ō raua taurunga.

$$1-\sqrt{\frac{15-7}{18}}$$

Tangohia te 7 i te 15, ka 8.

$$1-\sqrt{\frac{8}{18}}$$

Whakahekea te hautanga \frac{8}{18} ki ōna wāhi pāpaku rawa mā te tango me te whakakore i te 2.

$$1-\sqrt{\frac{4}{9}}$$

Tuhia anō te pūtake rua o te whakawehenga \frac{4}{9} hei whakawehenga o ngā pūtake rua \frac{\sqrt{4}}{\sqrt{9}}. Tuhia te pūtakerua o te taurunga me te tauraro.

$$1-\frac{2}{3}$$

Me tahuri te 1 ki te hautau \frac{3}{3}.

$$\frac{3}{3}-\frac{2}{3}$$

Tā te mea he rite te tauraro o \frac{3}{3} me \frac{2}{3}, me tango rāua mā te tango i ō raua taurunga.

$$\frac{3-2}{3}$$

Tangohia te 2 i te 3, ka 1.

$$\frac{1}{3}$$

Tauwehe

$$\frac{1}{3} = 0.3333333333333333$$