Whakaoti i te frac{20^2+{left(20sqrt{2}right)}^2-400}{2*20*20sqrt{2}}

$$\frac{ { 20 }^{ 2 } + { \left(20 \sqrt{ 2 } \right) }^{ 2 } -400 }{ 2 \times 20 \times 20 \sqrt{ 2 } }$$

Aromātai

$$\frac{\sqrt{2}}{2}\approx 0.707106781$$

Ngā Upane Otinga

Tātaihia te 20 mā te pū o 2, kia riro ko 400.

$$\frac{400+\left(20\sqrt{2}\right)^{2}-400}{2\times 20\times 20\sqrt{2}}$$

Whakarohaina te \left(20\sqrt{2}\right)^{2}.

$$\frac{400+20^{2}\left(\sqrt{2}\right)^{2}-400}{2\times 20\times 20\sqrt{2}}$$

Tātaihia te 20 mā te pū o 2, kia riro ko 400.

$$\frac{400+400\left(\sqrt{2}\right)^{2}-400}{2\times 20\times 20\sqrt{2}}$$

Ko te pūrua o \sqrt{2} ko 2.

$$\frac{400+400\times 2-400}{2\times 20\times 20\sqrt{2}}$$

Whakareatia te 400 ki te 2, ka 800.

$$\frac{400+800-400}{2\times 20\times 20\sqrt{2}}$$

Tāpirihia te 400 ki te 800, ka 1200.

$$\frac{1200-400}{2\times 20\times 20\sqrt{2}}$$

Tangohia te 400 i te 1200, ka 800.

$$\frac{800}{2\times 20\times 20\sqrt{2}}$$

Whakareatia te 2 ki te 20, ka 40.

$$\frac{800}{40\times 20\sqrt{2}}$$

Whakareatia te 40 ki te 20, ka 800.

$$\frac{800}{800\sqrt{2}}$$

Whakangāwaritia te tauraro o \frac{800}{800\sqrt{2}} mā te whakarea i te taurunga me te tauraro ki te \sqrt{2}.

$$\frac{800\sqrt{2}}{800\left(\sqrt{2}\right)^{2}}$$

Ko te pūrua o \sqrt{2} ko 2.

$$\frac{800\sqrt{2}}{800\times 2}$$

Me whakakore tahi te 800 i te taurunga me te tauraro.

$$\frac{\sqrt{2}}{2}$$