Whakaoti i te sqrt{24^2/24012*10^-7}

$$\sqrt { \frac { 24 ^ { 2 } } { 24012 \times 10 ^ { - 7 } } }$$

Aromātai

$$\frac{4000\sqrt{6670}}{667}\approx 489.775519978$$

Ngā Upane Otinga

Tātaihia te 24 mā te pū o 2, kia riro ko 576.

$$\sqrt{\frac{576}{24012\times 10^{-7}}}$$

Tātaihia te 10 mā te pū o -7, kia riro ko \frac{1}{10000000}.

$$\sqrt{\frac{576}{24012\times \frac{1}{10000000}}}$$

Whakareatia te 24012 ki te \frac{1}{10000000}, ka \frac{6003}{2500000}.

$$\sqrt{\frac{576}{\frac{6003}{2500000}}}$$

Whakawehe 576 ki te \frac{6003}{2500000} mā te whakarea 576 ki te tau huripoki o \frac{6003}{2500000}.

$$\sqrt{576\times \frac{2500000}{6003}}$$

Whakareatia te 576 ki te \frac{2500000}{6003}, ka \frac{160000000}{667}.

$$\sqrt{\frac{160000000}{667}}$$

Tuhia anō te pūtake rua o te whakawehenga \sqrt{\frac{160000000}{667}} hei whakawehenga o ngā pūtake rua \frac{\sqrt{160000000}}{\sqrt{667}}.

$$\frac{\sqrt{160000000}}{\sqrt{667}}$$

Tauwehea te 160000000=4000^{2}\times 10. Tuhia anō te pūtake rua o te hua \sqrt{4000^{2}\times 10} hei hua o ngā pūtake rua \sqrt{4000^{2}}\sqrt{10}. Tuhia te pūtakerua o te 4000^{2}.

$$\frac{4000\sqrt{10}}{\sqrt{667}}$$

Whakangāwaritia te tauraro o \frac{4000\sqrt{10}}{\sqrt{667}} mā te whakarea i te taurunga me te tauraro ki te \sqrt{667}.

$$\frac{4000\sqrt{10}\sqrt{667}}{\left(\sqrt{667}\right)^{2}}$$

Ko te pūrua o \sqrt{667} ko 667.

$$\frac{4000\sqrt{10}\sqrt{667}}{667}$$

Hei whakarea \sqrt{10} me \sqrt{667}, whakareatia ngā tau i raro i te pūtake rua.

$$\frac{4000\sqrt{6670}}{667}$$