Whakaoti i te sqrt{9/16div(1/2)^3-1/3}

$$\sqrt { \frac { 9 } { 16 } \div ( \frac { 1 } { 2 } ) ^ { 3 } - \frac { 1 } { 3 } }$$

Aromātai

$$\frac{5\sqrt{6}}{6}\approx 2.041241452$$

Ngā Upane Otinga

Tātaihia te \frac{1}{2} mā te pū o 3, kia riro ko \frac{1}{8}.

$$\sqrt{\frac{\frac{9}{16}}{\frac{1}{8}}-\frac{1}{3}}$$

Whakawehe \frac{9}{16} ki te \frac{1}{8} mā te whakarea \frac{9}{16} ki te tau huripoki o \frac{1}{8}.

$$\sqrt{\frac{9}{16}\times 8-\frac{1}{3}}$$

Tuhia te \frac{9}{16}\times 8 hei hautanga kotahi.

$$\sqrt{\frac{9\times 8}{16}-\frac{1}{3}}$$

Whakareatia te 9 ki te 8, ka 72.

$$\sqrt{\frac{72}{16}-\frac{1}{3}}$$

Whakahekea te hautanga \frac{72}{16} ki ōna wāhi pāpaku rawa mā te tango me te whakakore i te 8.

$$\sqrt{\frac{9}{2}-\frac{1}{3}}$$

Ko te maha noa iti rawa atu o 2 me 3 ko 6. Me tahuri \frac{9}{2} me \frac{1}{3} ki te hautau me te tautūnga 6.

$$\sqrt{\frac{27}{6}-\frac{2}{6}}$$

Tā te mea he rite te tauraro o \frac{27}{6} me \frac{2}{6}, me tango rāua mā te tango i ō raua taurunga.

$$\sqrt{\frac{27-2}{6}}$$

Tangohia te 2 i te 27, ka 25.

$$\sqrt{\frac{25}{6}}$$

Tuhia anō te pūtake rua o te whakawehenga \sqrt{\frac{25}{6}} hei whakawehenga o ngā pūtake rua \frac{\sqrt{25}}{\sqrt{6}}.

$$\frac{\sqrt{25}}{\sqrt{6}}$$

Tātaitia te pūtakerua o 25 kia tae ki 5.

$$\frac{5}{\sqrt{6}}$$

Whakangāwaritia te tauraro o \frac{5}{\sqrt{6}} mā te whakarea i te taurunga me te tauraro ki te \sqrt{6}.

$$\frac{5\sqrt{6}}{\left(\sqrt{6}\right)^{2}}$$

Ko te pūrua o \sqrt{6} ko 6.

$$\frac{5\sqrt{6}}{6}$$