Whakaoti i te 3/5*frac{sqrt{2}}{2}--4/5*frac{sqrt{2}}{2}

$$\frac{ 3 }{ 5 } \times \frac{ \sqrt{ 2 } }{ 2 } -- \frac{ 4 }{ 5 } \times \frac{ \sqrt{ 2 } }{ 2 }$$

Aromātai

$$\frac{7\sqrt{2}}{10}\approx 0.989949494$$

Ngā Hipanga Rongoā Poto

Me whakarea te \frac{3}{5} ki te \frac{\sqrt{2}}{2} mā te whakarea taurunga ki te taurunga me te tauraro ki te tauraro.

$$\frac{3\sqrt{2}}{5\times 2}-\left(-\frac{4}{5}\times \frac{\sqrt{2}}{2}\right)$$

Me whakarea te -\frac{4}{5} ki te \frac{\sqrt{2}}{2} mā te whakarea taurunga ki te taurunga me te tauraro ki te tauraro.

$$\frac{3\sqrt{2}}{5\times 2}-\frac{-4\sqrt{2}}{5\times 2}$$

Me whakakore tahi te 2 i te taurunga me te tauraro.

$$\frac{3\sqrt{2}}{5\times 2}-\frac{-2\sqrt{2}}{5}$$

Hei tāpiri, hei tango kīanga rānei, me whakaroha ērā kia rite ā rātou tauraro. Ko te taurea pātahi iti rawa o 5\times 2 me 5 ko 2\times 5. Whakareatia \frac{-2\sqrt{2}}{5} ki te \frac{2}{2}.

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

Tā te mea he rite te tauraro o \frac{3\sqrt{2}}{2\times 5} me \frac{2\left(-2\right)\sqrt{2}}{2\times 5}, me tango rāua mā te tango i ō raua taurunga.

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

Mahia ngā whakarea i roto o 3\sqrt{2}-2\left(-2\right)\sqrt{2}.

$$\frac{3\sqrt{2}+4\sqrt{2}}{2\times 5}$$

Mahia ngā tātaitai i roto o 3\sqrt{2}+4\sqrt{2}.

$$\frac{7\sqrt{2}}{2\times 5}$$

Whakarohaina te 2\times 5.

$$\frac{7\sqrt{2}}{10}$$