Whakaoti i te frac{10-sqrt{32}}{sqrt{2}}

$$\frac { 10 - \sqrt { 32 } } { \sqrt { 2 } }$$

Aromātai

$$5\sqrt{2}-4\approx 3.071067812$$

Ngā Upane Otinga

Tauwehea te 32=4^{2}\times 2. Tuhia anō te pūtake rua o te hua \sqrt{4^{2}\times 2} hei hua o ngā pūtake rua \sqrt{4^{2}}\sqrt{2}. Tuhia te pūtakerua o te 4^{2}.

$$\frac{10-4\sqrt{2}}{\sqrt{2}}$$

Whakangāwaritia te tauraro o \frac{10-4\sqrt{2}}{\sqrt{2}} mā te whakarea i te taurunga me te tauraro ki te \sqrt{2}.

$$\frac{\left(10-4\sqrt{2}\right)\sqrt{2}}{\left(\sqrt{2}\right)^{2}}$$

Ko te pūrua o \sqrt{2} ko 2.

$$\frac{\left(10-4\sqrt{2}\right)\sqrt{2}}{2}$$

Whakamahia te āhuatanga tohatoha hei whakarea te 10-4\sqrt{2} ki te \sqrt{2}.

$$\frac{10\sqrt{2}-4\left(\sqrt{2}\right)^{2}}{2}$$

Ko te pūrua o \sqrt{2} ko 2.

$$\frac{10\sqrt{2}-4\times 2}{2}$$

Whakareatia te -4 ki te 2, ka -8.

$$\frac{10\sqrt{2}-8}{2}$$

Whakawehea ia wā o 10\sqrt{2}-8 ki te 2, kia riro ko 5\sqrt{2}-4.

$$5\sqrt{2}-4$$