Whakaoti i te sqrt{11/25}+3sqrt{71/9}-0.6sqrt{3025}

$$\sqrt { \frac { 11 } { 25 } } + 3 \sqrt { \frac { 71 } { 9 } } - 0.6 \sqrt { 3025 }$$

Aromātai

$$\frac{\sqrt{11}}{5}+\sqrt{71}-33\approx -23.910525269$$

Ngā Hipanga Rongoā Poto

Tuhia anō te pūtake rua o te whakawehenga \sqrt{\frac{11}{25}} hei whakawehenga o ngā pūtake rua \frac{\sqrt{11}}{\sqrt{25}}.

$$\frac{\sqrt{11}}{\sqrt{25}}+3\sqrt{\frac{71}{9}}-0.6\sqrt{3025}$$

Tātaitia te pūtakerua o 25 kia tae ki 5.

$$\frac{\sqrt{11}}{5}+3\sqrt{\frac{71}{9}}-0.6\sqrt{3025}$$

Tuhia anō te pūtake rua o te whakawehenga \sqrt{\frac{71}{9}} hei whakawehenga o ngā pūtake rua \frac{\sqrt{71}}{\sqrt{9}}.

$$\frac{\sqrt{11}}{5}+3\times \frac{\sqrt{71}}{\sqrt{9}}-0.6\sqrt{3025}$$

Tātaitia te pūtakerua o 9 kia tae ki 3.

$$\frac{\sqrt{11}}{5}+3\times \frac{\sqrt{71}}{3}-0.6\sqrt{3025}$$

Me whakakore te 3 me te 3.

$$\frac{\sqrt{11}}{5}+\sqrt{71}-0.6\sqrt{3025}$$

Tātaitia te pūtakerua o 3025 kia tae ki 55.

$$\frac{\sqrt{11}}{5}+\sqrt{71}-0.6\times 55$$

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

$$\frac{\sqrt{11}}{5}+\sqrt{71}-33$$

Hei tāpiri, hei tango kīanga rānei, me whakaroha ērā kia rite ā rātou tauraro. Whakareatia \sqrt{71}-33 ki te \frac{5}{5}.

$$\frac{\sqrt{11}}{5}+\frac{5\left(\sqrt{71}-33\right)}{5}$$

Tā te mea he rite te tauraro o \frac{\sqrt{11}}{5} me \frac{5\left(\sqrt{71}-33\right)}{5}, me tāpiri rāua mā te tāpiri i ō raua taurunga.

$$\frac{\sqrt{11}+5\left(\sqrt{71}-33\right)}{5}$$

Mahia ngā whakarea i roto o \sqrt{11}+5\left(\sqrt{71}-33\right).

$$\frac{\sqrt{11}+5\sqrt{71}-165}{5}$$