Whakaoti i te {left(5sqrt{2}right)}^2-{left(3sqrt{2}right)}^2

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

Aromātai

$$32$$

Ngā Upane Otinga

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

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

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

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

Ko te pūrua o \sqrt{2} ko 2.

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

Whakareatia te 25 ki te 2, ka 50.

$$50-\left(3\sqrt{2}\right)^{2}$$

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

$$50-3^{2}\left(\sqrt{2}\right)^{2}$$

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

$$50-9\left(\sqrt{2}\right)^{2}$$

Ko te pūrua o \sqrt{2} ko 2.

$$50-9\times 2$$

Whakareatia te 9 ki te 2, ka 18.

$$50-18$$

Tangohia te 18 i te 50, ka 32.

$$32$$

Tauwehe

$$2^{5}$$