Whakaoti i te sqrt{111/25}+3sqrt{71/9}-0.6sqrt{3025}

$$\sqrt{ 1 \frac{ 11 }{ 25 } } +3 \sqrt{ 7 \frac{ 1 }{ 9 } } -0.6 \sqrt{ 3025 }$$

Aromātai

$$-23.8$$

Ngā Upane Otinga

Whakareatia te 1 ki te 25, ka 25.

$$\sqrt{\frac{25+11}{25}}+3\sqrt{\frac{7\times 9+1}{9}}-0.6\sqrt{3025}$$

Tāpirihia te 25 ki te 11, ka 36.

$$\sqrt{\frac{36}{25}}+3\sqrt{\frac{7\times 9+1}{9}}-0.6\sqrt{3025}$$

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.

$$\frac{6}{5}+3\sqrt{\frac{7\times 9+1}{9}}-0.6\sqrt{3025}$$

Whakareatia te 7 ki te 9, ka 63.

$$\frac{6}{5}+3\sqrt{\frac{63+1}{9}}-0.6\sqrt{3025}$$

Tāpirihia te 63 ki te 1, ka 64.

$$\frac{6}{5}+3\sqrt{\frac{64}{9}}-0.6\sqrt{3025}$$

Tuhia anō te pūtake rua o te whakawehenga \frac{64}{9} hei whakawehenga o ngā pūtake rua \frac{\sqrt{64}}{\sqrt{9}}. Tuhia te pūtakerua o te taurunga me te tauraro.

$$\frac{6}{5}+3\times \frac{8}{3}-0.6\sqrt{3025}$$

Me whakakore te 3 me te 3.

$$\frac{6}{5}+8-0.6\sqrt{3025}$$

Me tahuri te 8 ki te hautau \frac{40}{5}.

$$\frac{6}{5}+\frac{40}{5}-0.6\sqrt{3025}$$

Tā te mea he rite te tauraro o \frac{6}{5} me \frac{40}{5}, me tāpiri rāua mā te tāpiri i ō raua taurunga.

$$\frac{6+40}{5}-0.6\sqrt{3025}$$

Tāpirihia te 6 ki te 40, ka 46.

$$\frac{46}{5}-0.6\sqrt{3025}$$

Tātaitia te pūtakerua o 3025 kia tae ki 55.

$$\frac{46}{5}-0.6\times 55$$

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

$$\frac{46}{5}-33$$

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

$$\frac{46}{5}-\frac{165}{5}$$

Tā te mea he rite te tauraro o \frac{46}{5} me \frac{165}{5}, me tango rāua mā te tango i ō raua taurunga.

$$\frac{46-165}{5}$$

Tangohia te 165 i te 46, ka -119.

$$-\frac{119}{5}$$

Tauwehe

$$-23.8$$