Whakaoti i te (frac{sqrt{625}}{11}*14/sqrt{25}*11/sqrt{196})

$$( \frac { \sqrt { 625 } } { 11 } \times \frac { 14 } { \sqrt { 25 } } \times \frac { 11 } { \sqrt { 196 } } )$$

Aromātai

$$5$$

Ngā Upane Otinga

Tātaitia te pūtakerua o 625 kia tae ki 25.

$$\frac{25}{11}\times \frac{14}{\sqrt{25}}\times \frac{11}{\sqrt{196}}$$

Tātaitia te pūtakerua o 25 kia tae ki 5.

$$\frac{25}{11}\times \frac{14}{5}\times \frac{11}{\sqrt{196}}$$

Me whakarea te \frac{25}{11} ki te \frac{14}{5} mā te whakarea taurunga ki te taurunga me te tauraro ki te tauraro.

$$\frac{25\times 14}{11\times 5}\times \frac{11}{\sqrt{196}}$$

Mahia ngā whakarea i roto i te hautanga \frac{25\times 14}{11\times 5}.

$$\frac{350}{55}\times \frac{11}{\sqrt{196}}$$

Whakahekea te hautanga \frac{350}{55} ki ōna wāhi pāpaku rawa mā te tango me te whakakore i te 5.

$$\frac{70}{11}\times \frac{11}{\sqrt{196}}$$

Tātaitia te pūtakerua o 196 kia tae ki 14.

$$\frac{70}{11}\times \frac{11}{14}$$

Me whakarea te \frac{70}{11} ki te \frac{11}{14} mā te whakarea taurunga ki te taurunga me te tauraro ki te tauraro.

$$\frac{70\times 11}{11\times 14}$$

Me whakakore tahi te 11 i te taurunga me te tauraro.

$$\frac{70}{14}$$

Whakawehea te 70 ki te 14, kia riro ko 5.

$$5$$

Tauwehe

$$5$$