Whakaoti i te sqrt{25/frac{3{4}-6}}59

$$\sqrt{ \frac{ 25 }{ \frac{ 3 }{ 4 } -6 } } 59$$

Aromātai (complex solution)

$$\frac{590\sqrt{21}i}{21}\approx 128.748555239i$$

Ngā Upane Otinga

Me tahuri te 6 ki te hautau \frac{24}{4}.

$$59\sqrt{\frac{25}{\frac{3}{4}-\frac{24}{4}}}$$

Tā te mea he rite te tauraro o \frac{3}{4} me \frac{24}{4}, me tango rāua mā te tango i ō raua taurunga.

$$59\sqrt{\frac{25}{\frac{3-24}{4}}}$$

Tangohia te 24 i te 3, ka -21.

$$59\sqrt{\frac{25}{-\frac{21}{4}}}$$

Whakawehe 25 ki te -\frac{21}{4} mā te whakarea 25 ki te tau huripoki o -\frac{21}{4}.

$$59\sqrt{25\left(-\frac{4}{21}\right)}$$

Tuhia te 25\left(-\frac{4}{21}\right) hei hautanga kotahi.

$$59\sqrt{\frac{25\left(-4\right)}{21}}$$

Whakareatia te 25 ki te -4, ka -100.

$$59\sqrt{\frac{-100}{21}}$$

Ka taea te hautanga \frac{-100}{21} te tuhi anō ko -\frac{100}{21} mā te tango i te tohu tōraro.

$$59\sqrt{-\frac{100}{21}}$$

Tuhia anō te pūtake rua o te whakawehenga \sqrt{-\frac{100}{21}} hei whakawehenga o ngā pūtake rua \frac{\sqrt{-100}}{\sqrt{21}}.

$$59\times \frac{\sqrt{-100}}{\sqrt{21}}$$

Tātaitia te pūtakerua o -100 kia tae ki 10i.

$$59\times \frac{10i}{\sqrt{21}}$$

Whakangāwaritia te tauraro o \frac{10i}{\sqrt{21}} mā te whakarea i te taurunga me te tauraro ki te \sqrt{21}.

$$59\times \frac{10i\sqrt{21}}{\left(\sqrt{21}\right)^{2}}$$

Ko te pūrua o \sqrt{21} ko 21.

$$59\times \frac{10i\sqrt{21}}{21}$$

Whakawehea te 10i\sqrt{21} ki te 21, kia riro ko \frac{10}{21}i\sqrt{21}.

$$59\times \left(\frac{10}{21}i\right)\sqrt{21}$$

Whakareatia te 59 ki te \frac{10}{21}i, ka \frac{590}{21}i.

$$\frac{590}{21}i\sqrt{21}$$

Wāhi Tūturu (complex solution)

$$0$$

Aromātai

$$\text{Indeterminate}$$