Whakaoti i te (3/2)(2/2)+(1/2)(sqrt{2}/2)

$$( 3 / 2 ) ( 2 / 2 ) + ( 1 / 2 ) ( \sqrt { 2 } / 2 )$$

Aromātai

$$\frac{\sqrt{2}+6}{4}\approx 1.853553391$$

Ngā Hipanga Rongoā Poto

Whakawehea te 2 ki te 2, kia riro ko 1.

$$\frac{3}{2}\times 1+\frac{1}{2}\times \frac{\sqrt{2}}{2}$$

Whakareatia te \frac{3}{2} ki te 1, ka \frac{3}{2}.

$$\frac{3}{2}+\frac{1}{2}\times \frac{\sqrt{2}}{2}$$

Me whakarea te \frac{1}{2} ki te \frac{\sqrt{2}}{2} mā te whakarea taurunga ki te taurunga me te tauraro ki te tauraro.

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

Hei tāpiri, hei tango kīanga rānei, me whakaroha ērā kia rite ā rātou tauraro. Ko te taurea pātahi iti rawa o 2 me 2\times 2 ko 2\times 2. Whakareatia \frac{3}{2} ki te \frac{2}{2}.

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

Tā te mea he rite te tauraro o \frac{3\times 2}{2\times 2} me \frac{\sqrt{2}}{2\times 2}, me tāpiri rāua mā te tāpiri i ō raua taurunga.

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

Mahia ngā whakarea i roto o 3\times 2+\sqrt{2}.

$$\frac{6+\sqrt{2}}{2\times 2}$$

Whakarohaina te 2\times 2.

$$\frac{6+\sqrt{2}}{4}$$

Tauwehe

$$\frac{\sqrt{2} + 6}{4} = 1.8535533905932737$$