Whakaoti i te (2-5sqrt{2}i)(3+4sqrt{2}i)=

$$( 2 - 5 \sqrt { 2 } i ) ( 3 + 4 \sqrt { 2 } i ) =$$

Aromātai

$$-7\sqrt{2}i+46\approx 46-9.899494937i$$

Ngā Upane Otinga

Whakamahia te āhuatanga tohatoha hei whakarea te 2-5i\sqrt{2} ki te 3+4i\sqrt{2}.

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

Whakamahia te āhuatanga tohatoha hei whakarea te 3 ki te 2-5i\sqrt{2}.

$$6-15i\sqrt{2}+4i\left(2-5i\sqrt{2}\right)\sqrt{2}$$

Whakamahia te āhuatanga tohatoha hei whakarea te 4i ki te 2-5i\sqrt{2}.

$$6-15i\sqrt{2}+\left(8i+20\sqrt{2}\right)\sqrt{2}$$

Whakamahia te āhuatanga tohatoha hei whakarea te 8i+20\sqrt{2} ki te \sqrt{2}.

$$6-15i\sqrt{2}+8i\sqrt{2}+20\left(\sqrt{2}\right)^{2}$$

Ko te pūrua o \sqrt{2} ko 2.

$$6-15i\sqrt{2}+8i\sqrt{2}+20\times 2$$

Whakareatia te 20 ki te 2, ka 40.

$$6-15i\sqrt{2}+8i\sqrt{2}+40$$

Pahekotia te -15i\sqrt{2} me 8i\sqrt{2}, ka -7i\sqrt{2}.

$$6-7i\sqrt{2}+40$$

Tāpirihia te 6 ki te 40, ka 46.

$$46-7i\sqrt{2}$$

Wāhi Tūturu

$$46$$