Whakaoti i te sqrt{5/2}*sqrt{5/8}-sqrt{3/7}*sqrt{12/7}

$$\sqrt { \frac { 5 } { 2 } } \cdot \sqrt { \frac { 5 } { 8 } } - \sqrt { \frac { 3 } { 7 } } \cdot \sqrt { \frac { 12 } { 7 } }$$

Aromātai

$$\frac{11}{28}\approx 0.392857143$$

Ngā Upane Otinga

Hei whakarea \sqrt{\frac{5}{2}} me \sqrt{\frac{5}{8}}, whakareatia ngā tau i raro i te pūtake rua.

$$\sqrt{\frac{25}{16}}-\sqrt{\frac{3}{7}}\sqrt{\frac{12}{7}}$$

Tuhia anō te pūtake rua o te whakawehenga \frac{25}{16} hei whakawehenga o ngā pūtake rua \frac{\sqrt{25}}{\sqrt{16}}. Tuhia te pūtakerua o te taurunga me te tauraro.

$$\frac{5}{4}-\sqrt{\frac{3}{7}}\sqrt{\frac{12}{7}}$$

Hei whakarea \sqrt{\frac{3}{7}} me \sqrt{\frac{12}{7}}, whakareatia ngā tau i raro i te pūtake rua.

$$\frac{5}{4}-\sqrt{\frac{36}{49}}$$

Tuhia anō te pūtake rua o te whakawehenga \frac{36}{49} hei whakawehenga o ngā pūtake rua \frac{\sqrt{36}}{\sqrt{49}}. Tuhia te pūtakerua o te taurunga me te tauraro.

$$\frac{5}{4}-\frac{6}{7}$$

Ko te maha noa iti rawa atu o 4 me 7 ko 28. Me tahuri \frac{5}{4} me \frac{6}{7} ki te hautau me te tautūnga 28.

$$\frac{35}{28}-\frac{24}{28}$$

Tā te mea he rite te tauraro o \frac{35}{28} me \frac{24}{28}, me tango rāua mā te tango i ō raua taurunga.

$$\frac{35-24}{28}$$

Tangohia te 24 i te 35, ka 11.

$$\frac{11}{28}$$

Tauwehe

$$\frac{11}{2 ^ {2} \cdot 7} = 0.39285714285714285$$