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

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

Aromātai

$$73$$

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}.

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

Whakarohaina te \left(5\sqrt{3}\right)^{2}.

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

Tātaihia te 5 mā te pū o 2, kia riro ko 25.

$$25\left(\sqrt{3}\right)^{2}-\left(\sqrt{2}\right)^{2}$$

Ko te pūrua o \sqrt{3} ko 3.

$$25\times 3-\left(\sqrt{2}\right)^{2}$$

Whakareatia te 25 ki te 3, ka 75.

$$75-\left(\sqrt{2}\right)^{2}$$

Ko te pūrua o \sqrt{2} ko 2.

$$75-2$$

Tangohia te 2 i te 75, ka 73.

$$73$$

Tauwehe

$$73$$