Whakaoti i te frac{sqrt{2}}{sqrt{5+3}}

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

Aromātai

$$\frac{1}{2}=0.5$$

Ngā Upane Otinga

Tāpirihia te 5 ki te 3, ka 8.

$$\frac{\sqrt{2}}{\sqrt{8}}$$

Tauwehea te 8=2^{2}\times 2. Tuhia anō te pūtake rua o te hua \sqrt{2^{2}\times 2} hei hua o ngā pūtake rua \sqrt{2^{2}}\sqrt{2}. Tuhia te pūtakerua o te 2^{2}.

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

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

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

Ko te pūrua o \sqrt{2} ko 2.

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

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

$$\frac{2}{2\times 2}$$

Whakareatia te 2 ki te 2, ka 4.

$$\frac{2}{4}$$

Whakahekea te hautanga \frac{2}{4} ki ōna wāhi pāpaku rawa mā te tango me te whakakore i te 2.

$$\frac{1}{2}$$

Tauwehe

$$\frac{1}{2} = 0.5$$