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

$$\frac { 4 } { 4 \sqrt { 2 } } \times \frac { \sqrt { 3 } } { \sqrt { 2 } } =$$

Aromātai

$$\frac{\sqrt{3}}{2}\approx 0.866025404$$

Ngā Upane Otinga

Whakangāwaritia te tauraro o \frac{4}{4\sqrt{2}} mā te whakarea i te taurunga me te tauraro ki te \sqrt{2}.

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

Ko te pūrua o \sqrt{2} ko 2.

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

Me whakakore tahi te 4 i te taurunga me te tauraro.

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

Whakangāwaritia te tauraro o \frac{\sqrt{3}}{\sqrt{2}} mā te whakarea i te taurunga me te tauraro ki te \sqrt{2}.

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

Ko te pūrua o \sqrt{2} ko 2.

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

Hei whakarea \sqrt{3} me \sqrt{2}, whakareatia ngā tau i raro i te pūtake rua.

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

Me whakarea te \frac{\sqrt{2}}{2} ki te \frac{\sqrt{6}}{2} mā te whakarea taurunga ki te taurunga me te tauraro ki te tauraro.

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

Tauwehea te 6=2\times 3. Tuhia anō te pūtake rua o te hua \sqrt{2\times 3} hei hua o ngā pūtake rua \sqrt{2}\sqrt{3}.

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

Whakareatia te \sqrt{2} ki te \sqrt{2}, ka 2.

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

Whakareatia te 2 ki te 2, ka 4.

$$\frac{2\sqrt{3}}{4}$$

Whakawehea te 2\sqrt{3} ki te 4, kia riro ko \frac{1}{2}\sqrt{3}.

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