Whakaoti i te sqrt{75+(4.5^2+40)/6.5*10^4}

$$\sqrt { \frac { 75 + ( 4.5 ^ { 2 } + 40 ) } { 6.5 \times 10 ^ { 4 } } }$$

Aromātai

$$\frac{\sqrt{14066}}{2600}\approx 0.045615449$$

Ngā Upane Otinga

Tātaihia te 4.5 mā te pū o 2, kia riro ko 20.25.

$$\sqrt{\frac{75+20.25+40}{6.5\times 10^{4}}}$$

Tāpirihia te 75 ki te 20.25, ka 95.25.

$$\sqrt{\frac{95.25+40}{6.5\times 10^{4}}}$$

Tāpirihia te 95.25 ki te 40, ka 135.25.

$$\sqrt{\frac{135.25}{6.5\times 10^{4}}}$$

Tātaihia te 10 mā te pū o 4, kia riro ko 10000.

$$\sqrt{\frac{135.25}{6.5\times 10000}}$$

Whakareatia te 6.5 ki te 10000, ka 65000.

$$\sqrt{\frac{135.25}{65000}}$$

Whakarohaina te \frac{135.25}{65000} mā te whakarea i te taurunga me te tauraro ki te 100.

$$\sqrt{\frac{13525}{6500000}}$$

Whakahekea te hautanga \frac{13525}{6500000} ki ōna wāhi pāpaku rawa mā te tango me te whakakore i te 25.

$$\sqrt{\frac{541}{260000}}$$

Tuhia anō te pūtake rua o te whakawehenga \sqrt{\frac{541}{260000}} hei whakawehenga o ngā pūtake rua \frac{\sqrt{541}}{\sqrt{260000}}.

$$\frac{\sqrt{541}}{\sqrt{260000}}$$

Tauwehea te 260000=100^{2}\times 26. Tuhia anō te pūtake rua o te hua \sqrt{100^{2}\times 26} hei hua o ngā pūtake rua \sqrt{100^{2}}\sqrt{26}. Tuhia te pūtakerua o te 100^{2}.

$$\frac{\sqrt{541}}{100\sqrt{26}}$$

Whakangāwaritia te tauraro o \frac{\sqrt{541}}{100\sqrt{26}} mā te whakarea i te taurunga me te tauraro ki te \sqrt{26}.

$$\frac{\sqrt{541}\sqrt{26}}{100\left(\sqrt{26}\right)^{2}}$$

Ko te pūrua o \sqrt{26} ko 26.

$$\frac{\sqrt{541}\sqrt{26}}{100\times 26}$$

Hei whakarea \sqrt{541} me \sqrt{26}, whakareatia ngā tau i raro i te pūtake rua.

$$\frac{\sqrt{14066}}{100\times 26}$$

Whakareatia te 100 ki te 26, ka 2600.

$$\frac{\sqrt{14066}}{2600}$$