Whakaoti i te (4sqrt{2}-sqrt{14})(4sqrt{2}+sqrt{14})

$$( 4 \sqrt { 2 } - \sqrt { 14 } ) ( 4 \sqrt { 2 } + \sqrt { 14 } )$$

Aromātai

$$18$$

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}.

$$\left(4\sqrt{2}\right)^{2}-\left(\sqrt{14}\right)^{2}$$

Whakarohaina te \left(4\sqrt{2}\right)^{2}.

$$4^{2}\left(\sqrt{2}\right)^{2}-\left(\sqrt{14}\right)^{2}$$

Tātaihia te 4 mā te pū o 2, kia riro ko 16.

$$16\left(\sqrt{2}\right)^{2}-\left(\sqrt{14}\right)^{2}$$

Ko te pūrua o \sqrt{2} ko 2.

$$16\times 2-\left(\sqrt{14}\right)^{2}$$

Whakareatia te 16 ki te 2, ka 32.

$$32-\left(\sqrt{14}\right)^{2}$$

Ko te pūrua o \sqrt{14} ko 14.

$$32-14$$

Tangohia te 14 i te 32, ka 18.

$$18$$

Tauwehe

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