Whakaoti i te 119-109/frac{13{sqrt{20}}}

$$\frac { 119 - 109 } { \frac { 13 } { \sqrt { 20 } } }$$

Aromātai

$$\frac{20\sqrt{5}}{13}\approx 3.440104581$$

Ngā Upane Otinga

Tangohia te 109 i te 119, ka 10.

$$\frac{10}{\frac{13}{\sqrt{20}}}$$

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}.

$$\frac{10}{\frac{13}{2\sqrt{5}}}$$

Whakangāwaritia te tauraro o \frac{13}{2\sqrt{5}} mā te whakarea i te taurunga me te tauraro ki te \sqrt{5}.

$$\frac{10}{\frac{13\sqrt{5}}{2\left(\sqrt{5}\right)^{2}}}$$

Ko te pūrua o \sqrt{5} ko 5.

$$\frac{10}{\frac{13\sqrt{5}}{2\times 5}}$$

Whakareatia te 2 ki te 5, ka 10.

$$\frac{10}{\frac{13\sqrt{5}}{10}}$$

Whakawehe 10 ki te \frac{13\sqrt{5}}{10} mā te whakarea 10 ki te tau huripoki o \frac{13\sqrt{5}}{10}.

$$\frac{10\times 10}{13\sqrt{5}}$$

Whakangāwaritia te tauraro o \frac{10\times 10}{13\sqrt{5}} mā te whakarea i te taurunga me te tauraro ki te \sqrt{5}.

$$\frac{10\times 10\sqrt{5}}{13\left(\sqrt{5}\right)^{2}}$$

Ko te pūrua o \sqrt{5} ko 5.

$$\frac{10\times 10\sqrt{5}}{13\times 5}$$

Whakareatia te 10 ki te 10, ka 100.

$$\frac{100\sqrt{5}}{13\times 5}$$

Whakareatia te 13 ki te 5, ka 65.

$$\frac{100\sqrt{5}}{65}$$

Whakawehea te 100\sqrt{5} ki te 65, kia riro ko \frac{20}{13}\sqrt{5}.

$$\frac{20}{13}\sqrt{5}$$