Whakaoti i te 8sqrt{0.49}-3/7*sqrt{54/9}-9/64*sqrt{7744/9801}

$$8 \sqrt { 0.49 } - \frac { 3 } { 7 } \cdot \sqrt { 5 \frac { 4 } { 9 } } - \frac { 9 } { 64 } \cdot \sqrt { \frac { 7744 } { 9801 } }$$

Aromātai

$$4.475$$

Ngā Upane Otinga

Tātaitia te pūtakerua o 0.49 kia tae ki 0.7.

$$8\times 0.7-\frac{3}{7}\sqrt{\frac{5\times 9+4}{9}}-\frac{9}{64}\sqrt{\frac{7744}{9801}}$$

Whakareatia te 8 ki te 0.7, ka 5.6.

$$5.6-\frac{3}{7}\sqrt{\frac{5\times 9+4}{9}}-\frac{9}{64}\sqrt{\frac{7744}{9801}}$$

Whakareatia te 5 ki te 9, ka 45.

$$5.6-\frac{3}{7}\sqrt{\frac{45+4}{9}}-\frac{9}{64}\sqrt{\frac{7744}{9801}}$$

Tāpirihia te 45 ki te 4, ka 49.

$$5.6-\frac{3}{7}\sqrt{\frac{49}{9}}-\frac{9}{64}\sqrt{\frac{7744}{9801}}$$

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.

$$5.6-\frac{3}{7}\times \frac{7}{3}-\frac{9}{64}\sqrt{\frac{7744}{9801}}$$

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

$$5.6-1-\frac{9}{64}\sqrt{\frac{7744}{9801}}$$

Tangohia te 1 i te 5.6, ka 4.6.

$$4.6-\frac{9}{64}\sqrt{\frac{7744}{9801}}$$

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

$$4.6-\frac{9}{64}\sqrt{\frac{64}{81}}$$

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.

$$4.6-\frac{9}{64}\times \frac{8}{9}$$

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

$$4.6-\frac{9\times 8}{64\times 9}$$

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

$$4.6-\frac{8}{64}$$

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

$$4.6-\frac{1}{8}$$

Me tahuri ki tau ā-ira 4.6 ki te hautau \frac{46}{10}. Whakahekea te hautanga \frac{46}{10} ki ōna wāhi pāpaku rawa mā te tango me te whakakore i te 2.

$$\frac{23}{5}-\frac{1}{8}$$

Ko te maha noa iti rawa atu o 5 me 8 ko 40. Me tahuri \frac{23}{5} me \frac{1}{8} ki te hautau me te tautūnga 40.

$$\frac{184}{40}-\frac{5}{40}$$

Tā te mea he rite te tauraro o \frac{184}{40} me \frac{5}{40}, me tango rāua mā te tango i ō raua taurunga.

$$\frac{184-5}{40}$$

Tangohia te 5 i te 184, ka 179.

$$\frac{179}{40}$$

Tauwehe

$$\frac{179}{5 \cdot 2 ^ {3}} = 4\frac{19}{40} = 4.475$$