Whakaoti i te =32585-786*408/10/sqrt{[62280frac{786^2{10}][17412408^2/10]}}

$$= \frac { 32585 - \frac { 786 \times 408 } { 10 } } { \sqrt { [ 62280 \frac { 786 ^ { 2 } } { 10 } ] [ 17412 \frac { 408 ^ { 2 } } { 10 } ] } }$$

Aromātai

$$\frac{2581\sqrt{7530690}}{14490011488320}\approx 0.000000489$$

Ngā Upane Otinga

Whakareatia te 786 ki te 408, ka 320688.

$$\frac{32585-\frac{320688}{10}}{\sqrt{62280\times \frac{786^{2}}{10}\times 17412\times \frac{408^{2}}{10}}}$$

Whakahekea te hautanga \frac{320688}{10} ki ōna wāhi pāpaku rawa mā te tango me te whakakore i te 2.

$$\frac{32585-\frac{160344}{5}}{\sqrt{62280\times \frac{786^{2}}{10}\times 17412\times \frac{408^{2}}{10}}}$$

Me tahuri te 32585 ki te hautau \frac{162925}{5}.

$$\frac{\frac{162925}{5}-\frac{160344}{5}}{\sqrt{62280\times \frac{786^{2}}{10}\times 17412\times \frac{408^{2}}{10}}}$$

Tā te mea he rite te tauraro o \frac{162925}{5} me \frac{160344}{5}, me tango rāua mā te tango i ō raua taurunga.

$$\frac{\frac{162925-160344}{5}}{\sqrt{62280\times \frac{786^{2}}{10}\times 17412\times \frac{408^{2}}{10}}}$$

Tangohia te 160344 i te 162925, ka 2581.

$$\frac{\frac{2581}{5}}{\sqrt{62280\times \frac{786^{2}}{10}\times 17412\times \frac{408^{2}}{10}}}$$

Tātaihia te 786 mā te pū o 2, kia riro ko 617796.

$$\frac{\frac{2581}{5}}{\sqrt{62280\times \frac{617796}{10}\times 17412\times \frac{408^{2}}{10}}}$$

Whakahekea te hautanga \frac{617796}{10} ki ōna wāhi pāpaku rawa mā te tango me te whakakore i te 2.

$$\frac{\frac{2581}{5}}{\sqrt{62280\times \frac{308898}{5}\times 17412\times \frac{408^{2}}{10}}}$$

Tuhia te 62280\times \frac{308898}{5} hei hautanga kotahi.

$$\frac{\frac{2581}{5}}{\sqrt{\frac{62280\times 308898}{5}\times 17412\times \frac{408^{2}}{10}}}$$

Whakareatia te 62280 ki te 308898, ka 19238167440.

$$\frac{\frac{2581}{5}}{\sqrt{\frac{19238167440}{5}\times 17412\times \frac{408^{2}}{10}}}$$

Whakawehea te 19238167440 ki te 5, kia riro ko 3847633488.

$$\frac{\frac{2581}{5}}{\sqrt{3847633488\times 17412\times \frac{408^{2}}{10}}}$$

Whakareatia te 3847633488 ki te 17412, ka 66994994293056.

$$\frac{\frac{2581}{5}}{\sqrt{66994994293056\times \frac{408^{2}}{10}}}$$

Tātaihia te 408 mā te pū o 2, kia riro ko 166464.

$$\frac{\frac{2581}{5}}{\sqrt{66994994293056\times \frac{166464}{10}}}$$

Whakahekea te hautanga \frac{166464}{10} ki ōna wāhi pāpaku rawa mā te tango me te whakakore i te 2.

$$\frac{\frac{2581}{5}}{\sqrt{66994994293056\times \frac{83232}{5}}}$$

Tuhia te 66994994293056\times \frac{83232}{5} hei hautanga kotahi.

$$\frac{\frac{2581}{5}}{\sqrt{\frac{66994994293056\times 83232}{5}}}$$

Whakareatia te 66994994293056 ki te 83232, ka 5576127364999636992.

$$\frac{\frac{2581}{5}}{\sqrt{\frac{5576127364999636992}{5}}}$$

Tuhia anō te pūtake rua o te whakawehenga \sqrt{\frac{5576127364999636992}{5}} hei whakawehenga o ngā pūtake rua \frac{\sqrt{5576127364999636992}}{\sqrt{5}}.

$$\frac{\frac{2581}{5}}{\frac{\sqrt{5576127364999636992}}{\sqrt{5}}}$$

Tauwehea te 5576127364999636992=1924128^{2}\times 1506138. Tuhia anō te pūtake rua o te hua \sqrt{1924128^{2}\times 1506138} hei hua o ngā pūtake rua \sqrt{1924128^{2}}\sqrt{1506138}. Tuhia te pūtakerua o te 1924128^{2}.

$$\frac{\frac{2581}{5}}{\frac{1924128\sqrt{1506138}}{\sqrt{5}}}$$

Whakangāwaritia te tauraro o \frac{1924128\sqrt{1506138}}{\sqrt{5}} mā te whakarea i te taurunga me te tauraro ki te \sqrt{5}.

$$\frac{\frac{2581}{5}}{\frac{1924128\sqrt{1506138}\sqrt{5}}{\left(\sqrt{5}\right)^{2}}}$$

Ko te pūrua o \sqrt{5} ko 5.

$$\frac{\frac{2581}{5}}{\frac{1924128\sqrt{1506138}\sqrt{5}}{5}}$$

Hei whakarea \sqrt{1506138} me \sqrt{5}, whakareatia ngā tau i raro i te pūtake rua.

$$\frac{\frac{2581}{5}}{\frac{1924128\sqrt{7530690}}{5}}$$

Whakawehe \frac{2581}{5} ki te \frac{1924128\sqrt{7530690}}{5} mā te whakarea \frac{2581}{5} ki te tau huripoki o \frac{1924128\sqrt{7530690}}{5}.

$$\frac{2581\times 5}{5\times 1924128\sqrt{7530690}}$$

Me whakakore tahi te 5 i te taurunga me te tauraro.

$$\frac{2581}{1924128\sqrt{7530690}}$$

Whakangāwaritia te tauraro o \frac{2581}{1924128\sqrt{7530690}} mā te whakarea i te taurunga me te tauraro ki te \sqrt{7530690}.

$$\frac{2581\sqrt{7530690}}{1924128\left(\sqrt{7530690}\right)^{2}}$$

Ko te pūrua o \sqrt{7530690} ko 7530690.

$$\frac{2581\sqrt{7530690}}{1924128\times 7530690}$$

Whakareatia te 1924128 ki te 7530690, ka 14490011488320.

$$\frac{2581\sqrt{7530690}}{14490011488320}$$