Whakaoti i te sqrt{30}*sqrt{5/3}

$$\sqrt { 30 } \times \sqrt { \frac { 5 } { 3 } }$$

Aromātai

$$5\sqrt{2}\approx 7.071067812$$

Ngā Upane Otinga

Tuhia anō te pūtake rua o te whakawehenga \sqrt{\frac{5}{3}} hei whakawehenga o ngā pūtake rua \frac{\sqrt{5}}{\sqrt{3}}.

$$\sqrt{30}\times \frac{\sqrt{5}}{\sqrt{3}}$$

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

$$\sqrt{30}\times \frac{\sqrt{5}\sqrt{3}}{\left(\sqrt{3}\right)^{2}}$$

Ko te pūrua o \sqrt{3} ko 3.

$$\sqrt{30}\times \frac{\sqrt{5}\sqrt{3}}{3}$$

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

$$\sqrt{30}\times \frac{\sqrt{15}}{3}$$

Tuhia te \sqrt{30}\times \frac{\sqrt{15}}{3} hei hautanga kotahi.

$$\frac{\sqrt{30}\sqrt{15}}{3}$$

Tauwehea te 30=15\times 2. Tuhia anō te pūtake rua o te hua \sqrt{15\times 2} hei hua o ngā pūtake rua \sqrt{15}\sqrt{2}.

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

Whakareatia te \sqrt{15} ki te \sqrt{15}, ka 15.

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

Whakawehea te 15\sqrt{2} ki te 3, kia riro ko 5\sqrt{2}.

$$5\sqrt{2}$$