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

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

Aromātai

$$2$$

Ngā Upane Otinga

Ka taea te whakareanga te panoni ki te rerekētanga o ngā pūrua mā te ture: \left(a-b\right)\left(a+b\right)=a^{2}-b^{2}.

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

Whakarohaina te \left(2\sqrt{5}\right)^{2}.

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

Tātaihia te 2 mā te pū o 2, kia riro ko 4.

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

Ko te pūrua o \sqrt{5} ko 5.

$$4\times 5-\left(3\sqrt{2}\right)^{2}$$

Whakareatia te 4 ki te 5, ka 20.

$$20-\left(3\sqrt{2}\right)^{2}$$

Whakarohaina te \left(3\sqrt{2}\right)^{2}.

$$20-3^{2}\left(\sqrt{2}\right)^{2}$$

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

$$20-9\left(\sqrt{2}\right)^{2}$$

Ko te pūrua o \sqrt{2} ko 2.

$$20-9\times 2$$

Whakareatia te 9 ki te 2, ka 18.

$$20-18$$

Tangohia te 18 i te 20, ka 2.

$$2$$

Tauwehe

$$2$$