Whakaoti i te sqrt{(10+2)^2+(100)^2}-sqrt{(8)^2+(100)^2}

$$\sqrt { ( 10 + 2 ) ^ { 2 } + ( 100 ) ^ { 2 } } - \sqrt { ( 8 ) ^ { 2 } + ( 100 ) ^ { 2 } }$$

Aromātai

$$4\left(\sqrt{634}-\sqrt{629}\right)\approx 0.397936864$$

Ngā Upane Otinga

Tāpirihia te 10 ki te 2, ka 12.

$$\sqrt{12^{2}+100^{2}}-\sqrt{8^{2}+100^{2}}$$

Tātaihia te 12 mā te pū o 2, kia riro ko 144.

$$\sqrt{144+100^{2}}-\sqrt{8^{2}+100^{2}}$$

Tātaihia te 100 mā te pū o 2, kia riro ko 10000.

$$\sqrt{144+10000}-\sqrt{8^{2}+100^{2}}$$

Tāpirihia te 144 ki te 10000, ka 10144.

$$\sqrt{10144}-\sqrt{8^{2}+100^{2}}$$

Tauwehea te 10144=4^{2}\times 634. Tuhia anō te pūtake rua o te hua \sqrt{4^{2}\times 634} hei hua o ngā pūtake rua \sqrt{4^{2}}\sqrt{634}. Tuhia te pūtakerua o te 4^{2}.

$$4\sqrt{634}-\sqrt{8^{2}+100^{2}}$$

Tātaihia te 8 mā te pū o 2, kia riro ko 64.

$$4\sqrt{634}-\sqrt{64+100^{2}}$$

Tātaihia te 100 mā te pū o 2, kia riro ko 10000.

$$4\sqrt{634}-\sqrt{64+10000}$$

Tāpirihia te 64 ki te 10000, ka 10064.

$$4\sqrt{634}-\sqrt{10064}$$

Tauwehea te 10064=4^{2}\times 629. Tuhia anō te pūtake rua o te hua \sqrt{4^{2}\times 629} hei hua o ngā pūtake rua \sqrt{4^{2}}\sqrt{629}. Tuhia te pūtakerua o te 4^{2}.

$$4\sqrt{634}-4\sqrt{629}$$

Tauwehe

$$4 {(\sqrt{634} - \sqrt{629})} = 0.397936864$$