Whakaoti i te frac{sqrt{8}+sqrt{18}}{sqrt{2}}

$$\frac { \sqrt { 8 } + \sqrt { 18 } } { \sqrt { 2 } }$$

Aromātai

$$5$$

Ngā Upane Otinga

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}.

$$\frac{2\sqrt{2}+\sqrt{18}}{\sqrt{2}}$$

Tauwehea te 18=3^{2}\times 2. Tuhia anō te pūtake rua o te hua \sqrt{3^{2}\times 2} hei hua o ngā pūtake rua \sqrt{3^{2}}\sqrt{2}. Tuhia te pūtakerua o te 3^{2}.

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

Pahekotia te 2\sqrt{2} me 3\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

$$5$$