Whakaoti i te (1)(2sqrt{2}+3)(2sqrt{2}-3)

$$( 1 ) ( 2 \sqrt { 2 } + 3 ) ( 2 \sqrt { 2 } - 3 )$$

Aromātai

$$-1$$

Ngā Upane Otinga

Whakamahia te āhuatanga tohatoha hei whakarea te 1 ki te 2\sqrt{2}+3.

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

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}.

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

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

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

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

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

Ko te pūrua o \sqrt{2} ko 2.

$$4\times 2-3^{2}$$

Whakareatia te 4 ki te 2, ka 8.

$$8-3^{2}$$

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

$$8-9$$

Tangohia te 9 i te 8, ka -1.

$$-1$$

Tauwehe

$$-1$$