Whakaoti i te sqrt{[(13)^{2}-(07)^{2}+32]^2:11^2*5+[(28)^2-023]*10^2}

$$\sqrt { [ ( 13 ) ^ { 2 } - ( 07 ) ^ { 2 } + 32 ] ^ { 2 } : 11 ^ { 2 } \cdot 5 + [ ( 28 ) ^ { 2 } - 023 ] \cdot 10 ^ { 2 } }$$

Aromātai

$$\frac{\sqrt{9688405}}{11}\approx 282.965479891$$

Ngā Upane Otinga

Tātaihia te 13 mā te pū o 2, kia riro ko 169.

$$\sqrt{\frac{\left(169-\left(0\times 7\right)^{2}+32\right)^{2}}{11^{2}}\times 5+\left(28^{2}-0\times 23\right)\times 10^{2}}$$

Whakareatia te 0 ki te 7, ka 0.

$$\sqrt{\frac{\left(169-0^{2}+32\right)^{2}}{11^{2}}\times 5+\left(28^{2}-0\times 23\right)\times 10^{2}}$$

Tātaihia te 0 mā te pū o 2, kia riro ko 0.

$$\sqrt{\frac{\left(169-0+32\right)^{2}}{11^{2}}\times 5+\left(28^{2}-0\times 23\right)\times 10^{2}}$$

Tangohia te 0 i te 169, ka 169.

$$\sqrt{\frac{\left(169+32\right)^{2}}{11^{2}}\times 5+\left(28^{2}-0\times 23\right)\times 10^{2}}$$

Tāpirihia te 169 ki te 32, ka 201.

$$\sqrt{\frac{201^{2}}{11^{2}}\times 5+\left(28^{2}-0\times 23\right)\times 10^{2}}$$

Tātaihia te 201 mā te pū o 2, kia riro ko 40401.

$$\sqrt{\frac{40401}{11^{2}}\times 5+\left(28^{2}-0\times 23\right)\times 10^{2}}$$

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

$$\sqrt{\frac{40401}{121}\times 5+\left(28^{2}-0\times 23\right)\times 10^{2}}$$

Whakareatia te \frac{40401}{121} ki te 5, ka \frac{202005}{121}.

$$\sqrt{\frac{202005}{121}+\left(28^{2}-0\times 23\right)\times 10^{2}}$$

Tātaihia te 28 mā te pū o 2, kia riro ko 784.

$$\sqrt{\frac{202005}{121}+\left(784-0\times 23\right)\times 10^{2}}$$

Whakareatia te 0 ki te 23, ka 0.

$$\sqrt{\frac{202005}{121}+\left(784-0\right)\times 10^{2}}$$

Tangohia te 0 i te 784, ka 784.

$$\sqrt{\frac{202005}{121}+784\times 10^{2}}$$

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

$$\sqrt{\frac{202005}{121}+784\times 100}$$

Whakareatia te 784 ki te 100, ka 78400.

$$\sqrt{\frac{202005}{121}+78400}$$

Tāpirihia te \frac{202005}{121} ki te 78400, ka \frac{9688405}{121}.

$$\sqrt{\frac{9688405}{121}}$$

Tuhia anō te pūtake rua o te whakawehenga \sqrt{\frac{9688405}{121}} hei whakawehenga o ngā pūtake rua \frac{\sqrt{9688405}}{\sqrt{121}}.

$$\frac{\sqrt{9688405}}{\sqrt{121}}$$

Tātaitia te pūtakerua o 121 kia tae ki 11.

$$\frac{\sqrt{9688405}}{11}$$