Whakaoti i te frac{sqrt{8}*sqrt{20}}{sqrt{2}}

$$\frac { \sqrt { 8 } \cdot \sqrt { 20 } } { \sqrt { 2 } }$$

Aromātai

$$4\sqrt{5}\approx 8.94427191$$

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}.

$$\frac{2\sqrt{2}\sqrt{20}}{\sqrt{2}}$$

Tauwehea te 20=2^{2}\times 5. Tuhia anō te pūtake rua o te hua \sqrt{2^{2}\times 5} hei hua o ngā pūtake rua \sqrt{2^{2}}\sqrt{5}. Tuhia te pūtakerua o te 2^{2}.

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

Whakareatia te 2 ki te 2, ka 4.

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

Hei whakarea \sqrt{2} me \sqrt{5}, whakareatia ngā tau i raro i te pūtake rua.

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

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

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

Ko te pūrua o \sqrt{2} ko 2.

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

Tauwehea te 10=2\times 5. Tuhia anō te pūtake rua o te hua \sqrt{2\times 5} hei hua o ngā pūtake rua \sqrt{2}\sqrt{5}.

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

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

$$\frac{4\times 2\sqrt{5}}{2}$$

Me whakakore te 2 me te 2.

$$4\sqrt{5}$$