Whakaoti i te 1/2sqrt{-4}+2/5sqrt{-9}-1/3sqrt{-25}

$$\frac { 1 } { 2 } \sqrt { - 4 } + \frac { 2 } { 5 } \sqrt { - 9 } - \frac { 1 } { 3 } \sqrt { - 25 }$$

Aromātai (complex solution)

$$\frac{8}{15}i\approx 0.533333333i$$

Ngā Upane Otinga

Tātaitia te pūtakerua o -4 kia tae ki 2i.

$$\frac{1}{2}\times \left(2i\right)+\frac{2}{5}\sqrt{-9}-\frac{1}{3}\sqrt{-25}$$

Whakareatia te \frac{1}{2} ki te 2i, ka i.

$$i+\frac{2}{5}\sqrt{-9}-\frac{1}{3}\sqrt{-25}$$

Tātaitia te pūtakerua o -9 kia tae ki 3i.

$$i+\frac{2}{5}\times \left(3i\right)-\frac{1}{3}\sqrt{-25}$$

Whakareatia te \frac{2}{5} ki te 3i, ka \frac{6}{5}i.

$$i+\frac{6}{5}i-\frac{1}{3}\sqrt{-25}$$

Tāpirihia te i ki te \frac{6}{5}i, ka \frac{11}{5}i.

$$\frac{11}{5}i-\frac{1}{3}\sqrt{-25}$$

Tātaitia te pūtakerua o -25 kia tae ki 5i.

$$\frac{11}{5}i-\frac{1}{3}\times \left(5i\right)$$

Whakareatia te -\frac{1}{3} ki te 5i, ka -\frac{5}{3}i.

$$\frac{11}{5}i-\frac{5}{3}i$$

Tangohia te \frac{5}{3}i i te \frac{11}{5}i, ka \frac{8}{15}i.

$$\frac{8}{15}i$$

Wāhi Tūturu (complex solution)

$$0$$

Ngā Upane Otinga

Tātaitia te pūtakerua o -4 kia tae ki 2i.

$$Re(\frac{1}{2}\times \left(2i\right)+\frac{2}{5}\sqrt{-9}-\frac{1}{3}\sqrt{-25})$$

Whakareatia te \frac{1}{2} ki te 2i, ka i.

$$Re(i+\frac{2}{5}\sqrt{-9}-\frac{1}{3}\sqrt{-25})$$

Tātaitia te pūtakerua o -9 kia tae ki 3i.

$$Re(i+\frac{2}{5}\times \left(3i\right)-\frac{1}{3}\sqrt{-25})$$

Whakareatia te \frac{2}{5} ki te 3i, ka \frac{6}{5}i.

$$Re(i+\frac{6}{5}i-\frac{1}{3}\sqrt{-25})$$

Tāpirihia te i ki te \frac{6}{5}i, ka \frac{11}{5}i.

$$Re(\frac{11}{5}i-\frac{1}{3}\sqrt{-25})$$

Tātaitia te pūtakerua o -25 kia tae ki 5i.

$$Re(\frac{11}{5}i-\frac{1}{3}\times \left(5i\right))$$

Whakareatia te -\frac{1}{3} ki te 5i, ka -\frac{5}{3}i.

$$Re(\frac{11}{5}i-\frac{5}{3}i)$$

Tangohia te \frac{5}{3}i i te \frac{11}{5}i, ka \frac{8}{15}i.

$$Re(\frac{8}{15}i)$$

Ko te wāhi tūturu o \frac{8}{15}i ko 0.

$$0$$

Aromātai

$$\text{Indeterminate}$$