Whakaoti i te frac{sqrt{35}-sqrt{21}}{sqrt{7}}

$$\frac { \sqrt { 35 } - \sqrt { 21 } } { \sqrt { 7 } }$$

Aromātai

$$\sqrt{5}-\sqrt{3}\approx 0.50401717$$

Ngā Upane Otinga

Whakangāwaritia te tauraro o \frac{\sqrt{35}-\sqrt{21}}{\sqrt{7}} mā te whakarea i te taurunga me te tauraro ki te \sqrt{7}.

$$\frac{\left(\sqrt{35}-\sqrt{21}\right)\sqrt{7}}{\left(\sqrt{7}\right)^{2}}$$

Ko te pūrua o \sqrt{7} ko 7.

$$\frac{\left(\sqrt{35}-\sqrt{21}\right)\sqrt{7}}{7}$$

Whakamahia te āhuatanga tohatoha hei whakarea te \sqrt{35}-\sqrt{21} ki te \sqrt{7}.

$$\frac{\sqrt{35}\sqrt{7}-\sqrt{21}\sqrt{7}}{7}$$

Tauwehea te 35=7\times 5. Tuhia anō te pūtake rua o te hua \sqrt{7\times 5} hei hua o ngā pūtake rua \sqrt{7}\sqrt{5}.

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

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

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

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}.

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

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

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

Whakawehea ia wā o 7\sqrt{5}-7\sqrt{3} ki te 7, kia riro ko \sqrt{5}-\sqrt{3}.

$$\sqrt{5}-\sqrt{3}$$