Whakaoti i te 380/sqrt{(frac{2.1+3.26{0.2})^2+3.58^2}}

$$\frac { 380 } { \sqrt { ( \frac { 2.1 + 3.26 } { 0.2 } ) ^ { 2 } + 3.58 ^ { 2 } } }$$

Aromātai

$$\frac{19000\sqrt{1827641}}{1827641}\approx 14.054265543$$

Ngā Upane Otinga

Tāpirihia te 2.1 ki te 3.26, ka 5.36.

$$\frac{380}{\sqrt{\left(\frac{5.36}{0.2}\right)^{2}+3.58^{2}}}$$

Whakarohaina te \frac{5.36}{0.2} mā te whakarea i te taurunga me te tauraro ki te 100.

$$\frac{380}{\sqrt{\left(\frac{536}{20}\right)^{2}+3.58^{2}}}$$

Whakahekea te hautanga \frac{536}{20} ki ōna wāhi pāpaku rawa mā te tango me te whakakore i te 4.

$$\frac{380}{\sqrt{\left(\frac{134}{5}\right)^{2}+3.58^{2}}}$$

Tātaihia te \frac{134}{5} mā te pū o 2, kia riro ko \frac{17956}{25}.

$$\frac{380}{\sqrt{\frac{17956}{25}+3.58^{2}}}$$

Tātaihia te 3.58 mā te pū o 2, kia riro ko 12.8164.

$$\frac{380}{\sqrt{\frac{17956}{25}+12.8164}}$$

Tāpirihia te \frac{17956}{25} ki te 12.8164, ka \frac{1827641}{2500}.

$$\frac{380}{\sqrt{\frac{1827641}{2500}}}$$

Tuhia anō te pūtake rua o te whakawehenga \sqrt{\frac{1827641}{2500}} hei whakawehenga o ngā pūtake rua \frac{\sqrt{1827641}}{\sqrt{2500}}.

$$\frac{380}{\frac{\sqrt{1827641}}{\sqrt{2500}}}$$

Tātaitia te pūtakerua o 2500 kia tae ki 50.

$$\frac{380}{\frac{\sqrt{1827641}}{50}}$$

Whakawehe 380 ki te \frac{\sqrt{1827641}}{50} mā te whakarea 380 ki te tau huripoki o \frac{\sqrt{1827641}}{50}.

$$\frac{380\times 50}{\sqrt{1827641}}$$

Whakangāwaritia te tauraro o \frac{380\times 50}{\sqrt{1827641}} mā te whakarea i te taurunga me te tauraro ki te \sqrt{1827641}.

$$\frac{380\times 50\sqrt{1827641}}{\left(\sqrt{1827641}\right)^{2}}$$

Ko te pūrua o \sqrt{1827641} ko 1827641.

$$\frac{380\times 50\sqrt{1827641}}{1827641}$$

Whakareatia te 380 ki te 50, ka 19000.

$$\frac{19000\sqrt{1827641}}{1827641}$$