Whakaoti i te sqrt{111/25}+3sqrt{11/9}-0.6sqrt{3025}

$$\sqrt { 1 \frac { 11 } { 25 } } + 3 \sqrt { \frac { 11 } { 9 } } - 0.6 \sqrt { 3025 }$$

Aromātai

$$\sqrt{11}-31.8\approx -28.48337521$$

Ngā Upane Otinga

Whakareatia te 1 ki te 25, ka 25.

$$\sqrt{\frac{25+11}{25}}+3\sqrt{\frac{11}{9}}-0.6\sqrt{3025}$$

Tāpirihia te 25 ki te 11, ka 36.

$$\sqrt{\frac{36}{25}}+3\sqrt{\frac{11}{9}}-0.6\sqrt{3025}$$

Tuhia anō te pūtake rua o te whakawehenga \frac{36}{25} hei whakawehenga o ngā pūtake rua \frac{\sqrt{36}}{\sqrt{25}}. Tuhia te pūtakerua o te taurunga me te tauraro.

$$\frac{6}{5}+3\sqrt{\frac{11}{9}}-0.6\sqrt{3025}$$

Tuhia anō te pūtake rua o te whakawehenga \sqrt{\frac{11}{9}} hei whakawehenga o ngā pūtake rua \frac{\sqrt{11}}{\sqrt{9}}.

$$\frac{6}{5}+3\times \frac{\sqrt{11}}{\sqrt{9}}-0.6\sqrt{3025}$$

Tātaitia te pūtakerua o 9 kia tae ki 3.

$$\frac{6}{5}+3\times \frac{\sqrt{11}}{3}-0.6\sqrt{3025}$$

Me whakakore te 3 me te 3.

$$\frac{6}{5}+\sqrt{11}-0.6\sqrt{3025}$$

Tātaitia te pūtakerua o 3025 kia tae ki 55.

$$\frac{6}{5}+\sqrt{11}-0.6\times 55$$

Whakareatia te -0.6 ki te 55, ka -33.

$$\frac{6}{5}+\sqrt{11}-33$$

Me tahuri te 33 ki te hautau \frac{165}{5}.

$$\frac{6}{5}+\sqrt{11}-\frac{165}{5}$$

Tā te mea he rite te tauraro o \frac{6}{5} me \frac{165}{5}, me tango rāua mā te tango i ō raua taurunga.

$$\frac{6-165}{5}+\sqrt{11}$$

Tangohia te 165 i te 6, ka -159.

$$-\frac{159}{5}+\sqrt{11}$$