Whakaoti i te sqrt{20/27}

$$\sqrt { \frac { 20 } { 27 } }$$

Aromātai

$$\frac{2\sqrt{15}}{9}\approx 0.860662966$$

Ngā Upane Otinga

Tuhia anō te pūtake rua o te whakawehenga \sqrt{\frac{20}{27}} hei whakawehenga o ngā pūtake rua \frac{\sqrt{20}}{\sqrt{27}}.

$$\frac{\sqrt{20}}{\sqrt{27}}$$

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}.

$$\frac{2\sqrt{5}}{\sqrt{27}}$$

Tauwehea te 27=3^{2}\times 3. Tuhia anō te pūtake rua o te hua \sqrt{3^{2}\times 3} hei hua o ngā pūtake rua \sqrt{3^{2}}\sqrt{3}. Tuhia te pūtakerua o te 3^{2}.

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

Whakangāwaritia te tauraro o \frac{2\sqrt{5}}{3\sqrt{3}} mā te whakarea i te taurunga me te tauraro ki te \sqrt{3}.

$$\frac{2\sqrt{5}\sqrt{3}}{3\left(\sqrt{3}\right)^{2}}$$

Ko te pūrua o \sqrt{3} ko 3.

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

Hei whakarea \sqrt{5} me \sqrt{3}, whakareatia ngā tau i raro i te pūtake rua.

$$\frac{2\sqrt{15}}{3\times 3}$$

Whakareatia te 3 ki te 3, ka 9.

$$\frac{2\sqrt{15}}{9}$$