Whakaoti i te sqrt{111/25}+3sqrt{71/9}-0,6sqrt{30,25}

$$\sqrt { 1 \frac { 11 } { 25 } } + 3 \sqrt { 7 \frac { 1 } { 9 } } - 0,6 \sqrt { 30,25 }$$

Aromātai

$$5.9$$

Ngā Upane Otinga

Whakareatia te 1 ki te 25, ka 25.

$$\sqrt{\frac{25+11}{25}}+3\sqrt{\frac{7\times 9+1}{9}}-0.6\sqrt{30.25}$$

Tāpirihia te 25 ki te 11, ka 36.

$$\sqrt{\frac{36}{25}}+3\sqrt{\frac{7\times 9+1}{9}}-0.6\sqrt{30.25}$$

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.

$$\frac{6}{5}+3\sqrt{\frac{7\times 9+1}{9}}-0.6\sqrt{30.25}$$

Whakareatia te 7 ki te 9, ka 63.

$$\frac{6}{5}+3\sqrt{\frac{63+1}{9}}-0.6\sqrt{30.25}$$

Tāpirihia te 63 ki te 1, ka 64.

$$\frac{6}{5}+3\sqrt{\frac{64}{9}}-0.6\sqrt{30.25}$$

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.

$$\frac{6}{5}+3\times \frac{8}{3}-0.6\sqrt{30.25}$$

Me whakakore te 3 me te 3.

$$\frac{6}{5}+8-0.6\sqrt{30.25}$$

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

$$\frac{6}{5}+\frac{40}{5}-0.6\sqrt{30.25}$$

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.

$$\frac{6+40}{5}-0.6\sqrt{30.25}$$

Tāpirihia te 6 ki te 40, ka 46.

$$\frac{46}{5}-0.6\sqrt{30.25}$$

Tātaitia te pūtakerua o 30.25 kia tae ki 5.5.

$$\frac{46}{5}-0.6\times 5.5$$

Whakareatia te -0.6 ki te 5.5, ka -3.3.

$$\frac{46}{5}-3.3$$

Me tahuri ki tau ā-ira 3.3 ki te hautau \frac{33}{10}.

$$\frac{46}{5}-\frac{33}{10}$$

Ko te maha noa iti rawa atu o 5 me 10 ko 10. Me tahuri \frac{46}{5} me \frac{33}{10} ki te hautau me te tautūnga 10.

$$\frac{92}{10}-\frac{33}{10}$$

Tā te mea he rite te tauraro o \frac{92}{10} me \frac{33}{10}, me tango rāua mā te tango i ō raua taurunga.

$$\frac{92-33}{10}$$

Tangohia te 33 i te 92, ka 59.

$$\frac{59}{10}$$

Tauwehe

$$\frac{59}{2 \cdot 5} = 5\frac{9}{10} = 5.9$$