Whakaoti i te 628*5^(-9)sqrt{6*4700^2+4*4700^2}

$$628 \times 5 ^ { ( - 9 ) } \sqrt { 6 \times 4700 ^ { 2 } + 4 \times 4700 ^ { 2 } }$$

Aromātai

$$\frac{118064\sqrt{10}}{78125}\approx 4.778894716$$

Ngā Upane Otinga

Tātaihia te 5 mā te pū o -9, kia riro ko \frac{1}{1953125}.

$$628\times \frac{1}{1953125}\sqrt{6\times 4700^{2}+4\times 4700^{2}}$$

Whakareatia te 628 ki te \frac{1}{1953125}, ka \frac{628}{1953125}.

$$\frac{628}{1953125}\sqrt{6\times 4700^{2}+4\times 4700^{2}}$$

Tātaihia te 4700 mā te pū o 2, kia riro ko 22090000.

$$\frac{628}{1953125}\sqrt{6\times 22090000+4\times 4700^{2}}$$

Whakareatia te 6 ki te 22090000, ka 132540000.

$$\frac{628}{1953125}\sqrt{132540000+4\times 4700^{2}}$$

Tātaihia te 4700 mā te pū o 2, kia riro ko 22090000.

$$\frac{628}{1953125}\sqrt{132540000+4\times 22090000}$$

Whakareatia te 4 ki te 22090000, ka 88360000.

$$\frac{628}{1953125}\sqrt{132540000+88360000}$$

Tāpirihia te 132540000 ki te 88360000, ka 220900000.

$$\frac{628}{1953125}\sqrt{220900000}$$

Tauwehea te 220900000=4700^{2}\times 10. Tuhia anō te pūtake rua o te hua \sqrt{4700^{2}\times 10} hei hua o ngā pūtake rua \sqrt{4700^{2}}\sqrt{10}. Tuhia te pūtakerua o te 4700^{2}.

$$\frac{628}{1953125}\times 4700\sqrt{10}$$

Whakareatia te \frac{628}{1953125} ki te 4700, ka \frac{118064}{78125}.

$$\frac{118064}{78125}\sqrt{10}$$