Whakaoti i te left(2sqrt{-5}+3sqrt{-2}right)-3sqrt{-8}

$$\left( 2 \sqrt{ -5 } +3 \sqrt{ -2 } \right) -3 \sqrt{ -8 }$$

Aromātai (complex solution)

$$2\sqrt{5}i-3\sqrt{2}i\approx 0.229495268i$$

Ngā Upane Otinga

Tauwehea te -5=5\left(-1\right). Tuhia anō te pūtake rua o te hua \sqrt{5\left(-1\right)} hei hua o ngā pūtake rua \sqrt{5}\sqrt{-1}. Hei tōna tikanga, ko te pūtake rua o -1 ko i.

$$2\sqrt{5}i+3\sqrt{-2}-3\sqrt{-8}$$

Whakareatia te 2 ki te i, ka 2i.

$$2i\sqrt{5}+3\sqrt{-2}-3\sqrt{-8}$$

Tauwehea te -2=2\left(-1\right). Tuhia anō te pūtake rua o te hua \sqrt{2\left(-1\right)} hei hua o ngā pūtake rua \sqrt{2}\sqrt{-1}. Hei tōna tikanga, ko te pūtake rua o -1 ko i.

$$2i\sqrt{5}+3\sqrt{2}i-3\sqrt{-8}$$

Whakareatia te 3 ki te i, ka 3i.

$$2i\sqrt{5}+3i\sqrt{2}-3\sqrt{-8}$$

Tauwehea te -8=\left(2i\right)^{2}\times 2. Tuhia anō te pūtake rua o te hua \sqrt{\left(2i\right)^{2}\times 2} hei hua o ngā pūtake rua \sqrt{\left(2i\right)^{2}}\sqrt{2}. Tuhia te pūtakerua o te \left(2i\right)^{2}.

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

Whakareatia te -3 ki te 2i, ka -6i.

$$2i\sqrt{5}+3i\sqrt{2}-6i\sqrt{2}$$

Pahekotia te 3i\sqrt{2} me -6i\sqrt{2}, ka -3i\sqrt{2}.

$$2i\sqrt{5}-3i\sqrt{2}$$

Wāhi Tūturu (complex solution)

$$0$$

Aromātai

$$\text{Indeterminate}$$