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

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

Aromātai

$$\frac{19000\sqrt{391161}}{391161}\approx 30.379164608$$

Ngā Upane Otinga

Tāpirihia te 2.1 ki te 3.26, ka 5.36.

$$\frac{380}{\sqrt{\frac{5.36^{2}}{0.2}+3.58^{2}}}$$

Tātaihia te 5.36 mā te pū o 2, kia riro ko 28.7296.

$$\frac{380}{\sqrt{\frac{28.7296}{0.2}+3.58^{2}}}$$

Whakarohaina te \frac{28.7296}{0.2} mā te whakarea i te taurunga me te tauraro ki te 10000.

$$\frac{380}{\sqrt{\frac{287296}{2000}+3.58^{2}}}$$

Whakahekea te hautanga \frac{287296}{2000} ki ōna wāhi pāpaku rawa mā te tango me te whakakore i te 16.

$$\frac{380}{\sqrt{\frac{17956}{125}+3.58^{2}}}$$

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

$$\frac{380}{\sqrt{\frac{17956}{125}+12.8164}}$$

Tāpirihia te \frac{17956}{125} ki te 12.8164, ka \frac{391161}{2500}.

$$\frac{380}{\sqrt{\frac{391161}{2500}}}$$

Tuhia anō te pūtake rua o te whakawehenga \sqrt{\frac{391161}{2500}} hei whakawehenga o ngā pūtake rua \frac{\sqrt{391161}}{\sqrt{2500}}.

$$\frac{380}{\frac{\sqrt{391161}}{\sqrt{2500}}}$$

Tātaitia te pūtakerua o 2500 kia tae ki 50.

$$\frac{380}{\frac{\sqrt{391161}}{50}}$$

Whakawehe 380 ki te \frac{\sqrt{391161}}{50} mā te whakarea 380 ki te tau huripoki o \frac{\sqrt{391161}}{50}.

$$\frac{380\times 50}{\sqrt{391161}}$$

Whakangāwaritia te tauraro o \frac{380\times 50}{\sqrt{391161}} mā te whakarea i te taurunga me te tauraro ki te \sqrt{391161}.

$$\frac{380\times 50\sqrt{391161}}{\left(\sqrt{391161}\right)^{2}}$$

Ko te pūrua o \sqrt{391161} ko 391161.

$$\frac{380\times 50\sqrt{391161}}{391161}$$

Whakareatia te 380 ki te 50, ka 19000.

$$\frac{19000\sqrt{391161}}{391161}$$