Whakaoti i te 17+1/72+16sqrt{8}+2/3+1/4

$$17 + \frac { 1 } { 72 } + 16 \sqrt { 8 } + \frac { 2 } { 3 } + \frac { 1 } { 4 }$$

Aromātai

$$32\sqrt{2}+\frac{1291}{72}\approx 63.185389551$$

Ngā Upane Otinga

Me tahuri te 17 ki te hautau \frac{1224}{72}.

$$\frac{1224}{72}+\frac{1}{72}+16\sqrt{8}+\frac{2}{3}+\frac{1}{4}$$

Tā te mea he rite te tauraro o \frac{1224}{72} me \frac{1}{72}, me tāpiri rāua mā te tāpiri i ō raua taurunga.

$$\frac{1224+1}{72}+16\sqrt{8}+\frac{2}{3}+\frac{1}{4}$$

Tāpirihia te 1224 ki te 1, ka 1225.

$$\frac{1225}{72}+16\sqrt{8}+\frac{2}{3}+\frac{1}{4}$$

Tauwehea te 8=2^{2}\times 2. Tuhia anō te pūtake rua o te hua \sqrt{2^{2}\times 2} hei hua o ngā pūtake rua \sqrt{2^{2}}\sqrt{2}. Tuhia te pūtakerua o te 2^{2}.

$$\frac{1225}{72}+16\times 2\sqrt{2}+\frac{2}{3}+\frac{1}{4}$$

Whakareatia te 16 ki te 2, ka 32.

$$\frac{1225}{72}+32\sqrt{2}+\frac{2}{3}+\frac{1}{4}$$

Ko te maha noa iti rawa atu o 72 me 3 ko 72. Me tahuri \frac{1225}{72} me \frac{2}{3} ki te hautau me te tautūnga 72.

$$\frac{1225}{72}+32\sqrt{2}+\frac{48}{72}+\frac{1}{4}$$

Tā te mea he rite te tauraro o \frac{1225}{72} me \frac{48}{72}, me tāpiri rāua mā te tāpiri i ō raua taurunga.

$$\frac{1225+48}{72}+32\sqrt{2}+\frac{1}{4}$$

Tāpirihia te 1225 ki te 48, ka 1273.

$$\frac{1273}{72}+32\sqrt{2}+\frac{1}{4}$$

Ko te maha noa iti rawa atu o 72 me 4 ko 72. Me tahuri \frac{1273}{72} me \frac{1}{4} ki te hautau me te tautūnga 72.

$$\frac{1273}{72}+32\sqrt{2}+\frac{18}{72}$$

Tā te mea he rite te tauraro o \frac{1273}{72} me \frac{18}{72}, me tāpiri rāua mā te tāpiri i ō raua taurunga.

$$\frac{1273+18}{72}+32\sqrt{2}$$

Tāpirihia te 1273 ki te 18, ka 1291.

$$\frac{1291}{72}+32\sqrt{2}$$

Tauwehe

$$\frac{2304 \sqrt{2} + 1291}{72} = 63.18538955149461$$