Whakaoti i te 0802+10sqrt{13/8400}

$$0802+10 \sqrt{ \frac{ 13 }{ 8400 } }$$

Aromātai

$$\frac{\sqrt{273}}{42}\approx 0.393397896$$

Ngā Upane Otinga

Whakareatia te 0 ki te 802, ka 0.

$$0+10\sqrt{\frac{13}{8400}}$$

Tuhia anō te pūtake rua o te whakawehenga \sqrt{\frac{13}{8400}} hei whakawehenga o ngā pūtake rua \frac{\sqrt{13}}{\sqrt{8400}}.

$$0+10\times \frac{\sqrt{13}}{\sqrt{8400}}$$

Tauwehea te 8400=20^{2}\times 21. Tuhia anō te pūtake rua o te hua \sqrt{20^{2}\times 21} hei hua o ngā pūtake rua \sqrt{20^{2}}\sqrt{21}. Tuhia te pūtakerua o te 20^{2}.

$$0+10\times \frac{\sqrt{13}}{20\sqrt{21}}$$

Whakangāwaritia te tauraro o \frac{\sqrt{13}}{20\sqrt{21}} mā te whakarea i te taurunga me te tauraro ki te \sqrt{21}.

$$0+10\times \frac{\sqrt{13}\sqrt{21}}{20\left(\sqrt{21}\right)^{2}}$$

Ko te pūrua o \sqrt{21} ko 21.

$$0+10\times \frac{\sqrt{13}\sqrt{21}}{20\times 21}$$

Hei whakarea \sqrt{13} me \sqrt{21}, whakareatia ngā tau i raro i te pūtake rua.

$$0+10\times \frac{\sqrt{273}}{20\times 21}$$

Whakareatia te 20 ki te 21, ka 420.

$$0+10\times \frac{\sqrt{273}}{420}$$

Whakakorea atu te tauwehe pūnoa nui rawa 420 i roto i te 10 me te 420.

$$0+\frac{\sqrt{273}}{42}$$

Ko te tau i tāpiria he kore ka hua koia tonu.

$$\frac{\sqrt{273}}{42}$$