Whakaoti i te 1/(-061)(001)(sqrt{2(3864)})(-2/5(4)^5/2)

$$\frac { 1 } { ( - 061 ) ( 001 ) ( \sqrt { 2 ( 3864 } ) } ) ( - \frac { 2 } { 5 } ( 4 ) ^ { 5 / 2 } )$$

Aromātai

$$\frac{16\sqrt{483}}{147315}\approx 0.002386968$$

Ngā Upane Otinga

Whakareatia te -61 ki te 1, ka -61.

$$\frac{1}{-61\sqrt{2\times 3864}}\left(-\frac{2}{5}\right)\times 4^{\frac{5}{2}}$$

Whakareatia te 2 ki te 3864, ka 7728.

$$\frac{1}{-61\sqrt{7728}}\left(-\frac{2}{5}\right)\times 4^{\frac{5}{2}}$$

Tauwehea te 7728=4^{2}\times 483. Tuhia anō te pūtake rua o te hua \sqrt{4^{2}\times 483} hei hua o ngā pūtake rua \sqrt{4^{2}}\sqrt{483}. Tuhia te pūtakerua o te 4^{2}.

$$\frac{1}{-61\times 4\sqrt{483}}\left(-\frac{2}{5}\right)\times 4^{\frac{5}{2}}$$

Whakareatia te -61 ki te 4, ka -244.

$$\frac{1}{-244\sqrt{483}}\left(-\frac{2}{5}\right)\times 4^{\frac{5}{2}}$$

Whakangāwaritia te tauraro o \frac{1}{-244\sqrt{483}} mā te whakarea i te taurunga me te tauraro ki te \sqrt{483}.

$$\frac{\sqrt{483}}{-244\left(\sqrt{483}\right)^{2}}\left(-\frac{2}{5}\right)\times 4^{\frac{5}{2}}$$

Ko te pūrua o \sqrt{483} ko 483.

$$\frac{\sqrt{483}}{-244\times 483}\left(-\frac{2}{5}\right)\times 4^{\frac{5}{2}}$$

Whakareatia te -244 ki te 483, ka -117852.

$$\frac{\sqrt{483}}{-117852}\left(-\frac{2}{5}\right)\times 4^{\frac{5}{2}}$$

Tātaihia te 4 mā te pū o \frac{5}{2}, kia riro ko 32.

$$\frac{\sqrt{483}}{-117852}\left(-\frac{2}{5}\right)\times 32$$

Whakareatia te -\frac{2}{5} ki te 32, ka -\frac{64}{5}.

$$\frac{\sqrt{483}}{-117852}\left(-\frac{64}{5}\right)$$

Me whakarea te \frac{\sqrt{483}}{-117852} ki te -\frac{64}{5} mā te whakarea taurunga ki te taurunga me te tauraro ki te tauraro.

$$\frac{-\sqrt{483}\times 64}{-117852\times 5}$$

Me whakakore tahi te 4 i te taurunga me te tauraro.

$$\frac{-16\sqrt{483}}{-29463\times 5}$$

Whakareatia te -29463 ki te 5, ka -147315.

$$\frac{-16\sqrt{483}}{-147315}$$