Whakaoti i te 711-196*34^2/sqrt{46224}

$$711 - 196 \times \frac { 34 ^ { 2 } } { \sqrt { 46224 } }$$

Aromātai

$$-\frac{56644\sqrt{321}}{963}+711\approx -342.853259697$$

Ngā Hipanga Rongoā Poto

Tātaihia te 34 mā te pū o 2, kia riro ko 1156.

$$711-196\times \frac{1156}{\sqrt{46224}}$$

Tauwehea te 46224=12^{2}\times 321. Tuhia anō te pūtake rua o te hua \sqrt{12^{2}\times 321} hei hua o ngā pūtake rua \sqrt{12^{2}}\sqrt{321}. Tuhia te pūtakerua o te 12^{2}.

$$711-196\times \frac{1156}{12\sqrt{321}}$$

Whakangāwaritia te tauraro o \frac{1156}{12\sqrt{321}} mā te whakarea i te taurunga me te tauraro ki te \sqrt{321}.

$$711-196\times \frac{1156\sqrt{321}}{12\left(\sqrt{321}\right)^{2}}$$

Ko te pūrua o \sqrt{321} ko 321.

$$711-196\times \frac{1156\sqrt{321}}{12\times 321}$$

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

$$711-196\times \frac{289\sqrt{321}}{3\times 321}$$

Whakareatia te 3 ki te 321, ka 963.

$$711-196\times \frac{289\sqrt{321}}{963}$$

Tuhia te 196\times \frac{289\sqrt{321}}{963} hei hautanga kotahi.

$$711-\frac{196\times 289\sqrt{321}}{963}$$

Whakareatia te 196 ki te 289, ka 56644.

$$711-\frac{56644\sqrt{321}}{963}$$

Hei tāpiri, hei tango kīanga rānei, me whakaroha ērā kia rite ā rātou tauraro. Whakareatia 711 ki te \frac{963}{963}.

$$\frac{711\times 963}{963}-\frac{56644\sqrt{321}}{963}$$

Tā te mea he rite te tauraro o \frac{711\times 963}{963} me \frac{56644\sqrt{321}}{963}, me tango rāua mā te tango i ō raua taurunga.

$$\frac{711\times 963-56644\sqrt{321}}{963}$$

Mahia ngā whakarea i roto o 711\times 963-56644\sqrt{321}.

$$\frac{684693-56644\sqrt{321}}{963}$$