Whakaoti i te (2sqrt{7}-3sqrt{2})(2sqrt{7}+3sqrt{2})=

$$( 2 \sqrt { 7 } - 3 \sqrt { 2 } ) ( 2 \sqrt { 7 } + 3 \sqrt { 2 } ) =$$

Aromātai

$$10$$

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}.

$$\left(2\sqrt{7}\right)^{2}-\left(3\sqrt{2}\right)^{2}$$

Whakarohaina te \left(2\sqrt{7}\right)^{2}.

$$2^{2}\left(\sqrt{7}\right)^{2}-\left(3\sqrt{2}\right)^{2}$$

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

$$4\left(\sqrt{7}\right)^{2}-\left(3\sqrt{2}\right)^{2}$$

Ko te pūrua o \sqrt{7} ko 7.

$$4\times 7-\left(3\sqrt{2}\right)^{2}$$

Whakareatia te 4 ki te 7, ka 28.

$$28-\left(3\sqrt{2}\right)^{2}$$

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

$$28-3^{2}\left(\sqrt{2}\right)^{2}$$

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

$$28-9\left(\sqrt{2}\right)^{2}$$

Ko te pūrua o \sqrt{2} ko 2.

$$28-9\times 2$$

Whakareatia te 9 ki te 2, ka 18.

$$28-18$$

Tangohia te 18 i te 28, ka 10.

$$10$$

Tauwehe

$$2\times 5$$