Whakaoti i te sqrt{[(1.3)^{2}-(0.7)^{2}+3.2]^2:11^2*5+[(2.8)^2-0.23]*10^2}

$$\sqrt { [ ( 1.3 ) ^ { 2 } - ( 0.7 ) ^ { 2 } + 3.2 ] ^ { 2 } : 11 ^ { 2 } \cdot 5 + [ ( 2.8 ) ^ { 2 } - 0.23 ] \cdot 10 ^ { 2 } }$$

Aromātai

$$\frac{\sqrt{19045}}{5}\approx 27.600724628$$

Ngā Upane Otinga

Tātaihia te 1.3 mā te pū o 2, kia riro ko 1.69.

$$\sqrt{\frac{\left(1.69-0.7^{2}+3.2\right)^{2}}{11^{2}}\times 5+\left(2.8^{2}-0.23\right)\times 10^{2}}$$

Tātaihia te 0.7 mā te pū o 2, kia riro ko 0.49.

$$\sqrt{\frac{\left(1.69-0.49+3.2\right)^{2}}{11^{2}}\times 5+\left(2.8^{2}-0.23\right)\times 10^{2}}$$

Tangohia te 0.49 i te 1.69, ka 1.2.

$$\sqrt{\frac{\left(1.2+3.2\right)^{2}}{11^{2}}\times 5+\left(2.8^{2}-0.23\right)\times 10^{2}}$$

Tāpirihia te 1.2 ki te 3.2, ka 4.4.

$$\sqrt{\frac{4.4^{2}}{11^{2}}\times 5+\left(2.8^{2}-0.23\right)\times 10^{2}}$$

Tātaihia te 4.4 mā te pū o 2, kia riro ko 19.36.

$$\sqrt{\frac{19.36}{11^{2}}\times 5+\left(2.8^{2}-0.23\right)\times 10^{2}}$$

Tātaihia te 11 mā te pū o 2, kia riro ko 121.

$$\sqrt{\frac{19.36}{121}\times 5+\left(2.8^{2}-0.23\right)\times 10^{2}}$$

Whakarohaina te \frac{19.36}{121} mā te whakarea i te taurunga me te tauraro ki te 100.

$$\sqrt{\frac{1936}{12100}\times 5+\left(2.8^{2}-0.23\right)\times 10^{2}}$$

Whakahekea te hautanga \frac{1936}{12100} ki ōna wāhi pāpaku rawa mā te tango me te whakakore i te 484.

$$\sqrt{\frac{4}{25}\times 5+\left(2.8^{2}-0.23\right)\times 10^{2}}$$

Whakareatia te \frac{4}{25} ki te 5, ka \frac{4}{5}.

$$\sqrt{\frac{4}{5}+\left(2.8^{2}-0.23\right)\times 10^{2}}$$

Tātaihia te 2.8 mā te pū o 2, kia riro ko 7.84.

$$\sqrt{\frac{4}{5}+\left(7.84-0.23\right)\times 10^{2}}$$

Tangohia te 0.23 i te 7.84, ka 7.61.

$$\sqrt{\frac{4}{5}+7.61\times 10^{2}}$$

Tātaihia te 10 mā te pū o 2, kia riro ko 100.

$$\sqrt{\frac{4}{5}+7.61\times 100}$$

Whakareatia te 7.61 ki te 100, ka 761.

$$\sqrt{\frac{4}{5}+761}$$

Tāpirihia te \frac{4}{5} ki te 761, ka \frac{3809}{5}.

$$\sqrt{\frac{3809}{5}}$$

Tuhia anō te pūtake rua o te whakawehenga \sqrt{\frac{3809}{5}} hei whakawehenga o ngā pūtake rua \frac{\sqrt{3809}}{\sqrt{5}}.

$$\frac{\sqrt{3809}}{\sqrt{5}}$$

Whakangāwaritia te tauraro o \frac{\sqrt{3809}}{\sqrt{5}} mā te whakarea i te taurunga me te tauraro ki te \sqrt{5}.

$$\frac{\sqrt{3809}\sqrt{5}}{\left(\sqrt{5}\right)^{2}}$$

Ko te pūrua o \sqrt{5} ko 5.

$$\frac{\sqrt{3809}\sqrt{5}}{5}$$

Hei whakarea \sqrt{3809} me \sqrt{5}, whakareatia ngā tau i raro i te pūtake rua.

$$\frac{\sqrt{19045}}{5}$$