Whakaoti i te frac{sqrt{2}+sqrt{32}}{sqrt{2}}

$$\frac { \sqrt { 2 } + \sqrt { 32 } } { \sqrt { 2 } }$$

Aromātai

$$5$$

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}.

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

Pahekotia te \sqrt{2} me 4\sqrt{2}, ka 5\sqrt{2}.

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

Whakangāwaritia te tauraro o \frac{5\sqrt{2}}{\sqrt{2}} mā te whakarea i te taurunga me te tauraro ki te \sqrt{2}.

$$\frac{5\sqrt{2}\sqrt{2}}{\left(\sqrt{2}\right)^{2}}$$

Ko te pūrua o \sqrt{2} ko 2.

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

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

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

Whakareatia te 5 ki te 2, ka 10.

$$\frac{10}{2}$$

Whakawehea te 10 ki te 2, kia riro ko 5.

$$5$$

Tauwehe

$$5$$