Whakaoti i te sqrt{(-8-19)}*(-5+2)^2-37+[4div2+3*(-3)-3]

$$\sqrt { ( - 8 - 19 ) } \times ( - 5 + 2 ) ^ { 2 } - 37 + [ 4 \div 2 + 3 \cdot ( - 3 ) - 3 ]$$

Aromātai (complex solution)

$$-47+27\sqrt{3}i\approx -47+46.765371804i$$

Ngā Upane Otinga

Tangohia te 19 i te -8, ka -27.

$$\sqrt{-27}\left(-5+2\right)^{2}-37+\frac{4}{2}+3\left(-3\right)-3$$

Tauwehea te -27=\left(3i\right)^{2}\times 3. Tuhia anō te pūtake rua o te hua \sqrt{\left(3i\right)^{2}\times 3} hei hua o ngā pūtake rua \sqrt{\left(3i\right)^{2}}\sqrt{3}. Tuhia te pūtakerua o te \left(3i\right)^{2}.

$$3i\sqrt{3}\left(-5+2\right)^{2}-37+\frac{4}{2}+3\left(-3\right)-3$$

Tāpirihia te -5 ki te 2, ka -3.

$$3i\sqrt{3}\left(-3\right)^{2}-37+\frac{4}{2}+3\left(-3\right)-3$$

Tātaihia te -3 mā te pū o 2, kia riro ko 9.

$$3i\sqrt{3}\times 9-37+\frac{4}{2}+3\left(-3\right)-3$$

Whakareatia te 3i ki te 9, ka 27i.

$$27i\sqrt{3}-37+\frac{4}{2}+3\left(-3\right)-3$$

Whakawehea te 4 ki te 2, kia riro ko 2.

$$27i\sqrt{3}-37+2+3\left(-3\right)-3$$

Tāpirihia te -37 ki te 2, ka -35.

$$27i\sqrt{3}-35+3\left(-3\right)-3$$

Whakareatia te 3 ki te -3, ka -9.

$$27i\sqrt{3}-35-9-3$$

Tangohia te 9 i te -35, ka -44.

$$27i\sqrt{3}-44-3$$

Tangohia te 3 i te -44, ka -47.

$$27i\sqrt{3}-47$$

Wāhi Tūturu (complex solution)

$$-47$$

Aromātai

$$\text{Indeterminate}$$