Whakaoti i te sqrt{111/25}+3sqrt{71/9}-06sqrt{3025}

$$\sqrt{ 1 \frac{ 11 }{ 25 } } +3 \sqrt{ 7 \frac{ 1 }{ 9 } } -06 \sqrt{ 3025 }$$

Aromātai

$$\frac{46}{5}=9.2$$

Ngā Upane Otinga

Whakareatia te 1 ki te 25, ka 25.

$$\sqrt{\frac{25+11}{25}}+3\sqrt{\frac{7\times 9+1}{9}}-0\times 6\sqrt{3025}$$

Tāpirihia te 25 ki te 11, ka 36.

$$\sqrt{\frac{36}{25}}+3\sqrt{\frac{7\times 9+1}{9}}-0\times 6\sqrt{3025}$$

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.

$$\frac{6}{5}+3\sqrt{\frac{7\times 9+1}{9}}-0\times 6\sqrt{3025}$$

Whakareatia te 7 ki te 9, ka 63.

$$\frac{6}{5}+3\sqrt{\frac{63+1}{9}}-0\times 6\sqrt{3025}$$

Tāpirihia te 63 ki te 1, ka 64.

$$\frac{6}{5}+3\sqrt{\frac{64}{9}}-0\times 6\sqrt{3025}$$

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.

$$\frac{6}{5}+3\times \frac{8}{3}-0\times 6\sqrt{3025}$$

Me whakakore te 3 me te 3.

$$\frac{6}{5}+8-0\times 6\sqrt{3025}$$

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

$$\frac{6}{5}+\frac{40}{5}-0\times 6\sqrt{3025}$$

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.

$$\frac{6+40}{5}-0\times 6\sqrt{3025}$$

Tāpirihia te 6 ki te 40, ka 46.

$$\frac{46}{5}-0\times 6\sqrt{3025}$$

Whakareatia te 0 ki te 6, ka 0.

$$\frac{46}{5}-0\sqrt{3025}$$

Tātaitia te pūtakerua o 3025 kia tae ki 55.

$$\frac{46}{5}-0\times 55$$

Whakareatia te 0 ki te 55, ka 0.

$$\frac{46}{5}-0$$

Tangohia te 0 i te \frac{46}{5}, ka \frac{46}{5}.

$$\frac{46}{5}$$

Tauwehe

$$\frac{2 \cdot 23}{5} = 9\frac{1}{5} = 9.2$$