Whakaoti i te frac{5sqrt{7}*sqrt{3}}{sqrt{28}}

$$\frac { 5 \sqrt { 7 } \times \sqrt { 3 } } { \sqrt { 28 } }$$

Aromātai

$$\frac{5\sqrt{3}}{2}\approx 4.330127019$$

Ngā Upane Otinga

Hei whakarea \sqrt{7} me \sqrt{3}, whakareatia ngā tau i raro i te pūtake rua.

$$\frac{5\sqrt{21}}{\sqrt{28}}$$

Tauwehea te 28=2^{2}\times 7. Tuhia anō te pūtake rua o te hua \sqrt{2^{2}\times 7} hei hua o ngā pūtake rua \sqrt{2^{2}}\sqrt{7}. Tuhia te pūtakerua o te 2^{2}.

$$\frac{5\sqrt{21}}{2\sqrt{7}}$$

Whakangāwaritia te tauraro o \frac{5\sqrt{21}}{2\sqrt{7}} mā te whakarea i te taurunga me te tauraro ki te \sqrt{7}.

$$\frac{5\sqrt{21}\sqrt{7}}{2\left(\sqrt{7}\right)^{2}}$$

Ko te pūrua o \sqrt{7} ko 7.

$$\frac{5\sqrt{21}\sqrt{7}}{2\times 7}$$

Tauwehea te 21=7\times 3. Tuhia anō te pūtake rua o te hua \sqrt{7\times 3} hei hua o ngā pūtake rua \sqrt{7}\sqrt{3}.

$$\frac{5\sqrt{7}\sqrt{3}\sqrt{7}}{2\times 7}$$

Whakareatia te \sqrt{7} ki te \sqrt{7}, ka 7.

$$\frac{5\times 7\sqrt{3}}{2\times 7}$$

Whakareatia te 2 ki te 7, ka 14.

$$\frac{5\times 7\sqrt{3}}{14}$$

Whakareatia te 5 ki te 7, ka 35.

$$\frac{35\sqrt{3}}{14}$$

Whakawehea te 35\sqrt{3} ki te 14, kia riro ko \frac{5}{2}\sqrt{3}.

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