Whakaoti i te 8sqrt{049}-3/7*sqrt{54/9}-9/64*sqrt{7744/9801}

$$8 \sqrt { 049 } - \frac { 3 } { 7 } \cdot \sqrt { 5 \frac { 4 } { 9 } } - \frac { 9 } { 64 } \cdot \sqrt { \frac { 7744 } { 9801 } }$$

Aromātai

$$-\frac{9}{8}=-1.125$$

Ngā Upane Otinga

Whakareatia te 0 ki te 49, ka 0.

$$8\sqrt{0}-\frac{3}{7}\sqrt{\frac{5\times 9+4}{9}}-\frac{9}{64}\sqrt{\frac{7744}{9801}}$$

Tātaitia te pūtakerua o 0 kia tae ki 0.

$$8\times 0-\frac{3}{7}\sqrt{\frac{5\times 9+4}{9}}-\frac{9}{64}\sqrt{\frac{7744}{9801}}$$

Whakareatia te 8 ki te 0, ka 0.

$$0-\frac{3}{7}\sqrt{\frac{5\times 9+4}{9}}-\frac{9}{64}\sqrt{\frac{7744}{9801}}$$

Whakareatia te 5 ki te 9, ka 45.

$$0-\frac{3}{7}\sqrt{\frac{45+4}{9}}-\frac{9}{64}\sqrt{\frac{7744}{9801}}$$

Tāpirihia te 45 ki te 4, ka 49.

$$0-\frac{3}{7}\sqrt{\frac{49}{9}}-\frac{9}{64}\sqrt{\frac{7744}{9801}}$$

Tuhia anō te pūtake rua o te whakawehenga \frac{49}{9} hei whakawehenga o ngā pūtake rua \frac{\sqrt{49}}{\sqrt{9}}. Tuhia te pūtakerua o te taurunga me te tauraro.

$$0-\frac{3}{7}\times \frac{7}{3}-\frac{9}{64}\sqrt{\frac{7744}{9801}}$$

Me whakakore atu te \frac{3}{7} me tōna tau utu \frac{7}{3}.

$$0-1-\frac{9}{64}\sqrt{\frac{7744}{9801}}$$

Tangohia te 1 i te 0, ka -1.

$$-1-\frac{9}{64}\sqrt{\frac{7744}{9801}}$$

Whakahekea te hautanga \frac{7744}{9801} ki ōna wāhi pāpaku rawa mā te tango me te whakakore i te 121.

$$-1-\frac{9}{64}\sqrt{\frac{64}{81}}$$

Tuhia anō te pūtake rua o te whakawehenga \frac{64}{81} hei whakawehenga o ngā pūtake rua \frac{\sqrt{64}}{\sqrt{81}}. Tuhia te pūtakerua o te taurunga me te tauraro.

$$-1-\frac{9}{64}\times \frac{8}{9}$$

Me whakarea te \frac{9}{64} ki te \frac{8}{9} mā te whakarea taurunga ki te taurunga me te tauraro ki te tauraro.

$$-1-\frac{9\times 8}{64\times 9}$$

Me whakakore tahi te 9 i te taurunga me te tauraro.

$$-1-\frac{8}{64}$$

Whakahekea te hautanga \frac{8}{64} ki ōna wāhi pāpaku rawa mā te tango me te whakakore i te 8.

$$-1-\frac{1}{8}$$

Me tahuri te -1 ki te hautau -\frac{8}{8}.

$$-\frac{8}{8}-\frac{1}{8}$$

Tā te mea he rite te tauraro o -\frac{8}{8} me \frac{1}{8}, me tango rāua mā te tango i ō raua taurunga.

$$\frac{-8-1}{8}$$

Tangohia te 1 i te -8, ka -9.

$$-\frac{9}{8}$$

Tauwehe

$$-\frac{9}{8} = -1\frac{1}{8} = -1.125$$