Whakaoti i te sqrt{27}*3sqrt{12}*5/8sqrt{3}

$$\sqrt { 27 } \times 3 \sqrt { 12 } \times \frac { 5 } { 8 } \sqrt { 3 }$$

Aromātai

$$\frac{135\sqrt{3}}{4}\approx 58.456714755$$

Ngā Upane Otinga

Tauwehea te 27=3\times 9. Tuhia anō te pūtake rua o te hua \sqrt{3\times 9} hei hua o ngā pūtake rua \sqrt{3}\sqrt{9}.

$$3\sqrt{3}\sqrt{9}\sqrt{12}\times \frac{5}{8}\sqrt{3}$$

Whakareatia te \sqrt{3} ki te \sqrt{3}, ka 3.

$$3\times 3\sqrt{12}\times \frac{5}{8}\sqrt{9}$$

Whakareatia te 3 ki te 3, ka 9.

$$9\sqrt{12}\times \frac{5}{8}\sqrt{9}$$

Tauwehea te 12=2^{2}\times 3. Tuhia anō te pūtake rua o te hua \sqrt{2^{2}\times 3} hei hua o ngā pūtake rua \sqrt{2^{2}}\sqrt{3}. Tuhia te pūtakerua o te 2^{2}.

$$9\times 2\sqrt{3}\times \frac{5}{8}\sqrt{9}$$

Whakareatia te 9 ki te 2, ka 18.

$$18\sqrt{3}\times \frac{5}{8}\sqrt{9}$$

Tuhia te 18\times \frac{5}{8} hei hautanga kotahi.

$$\frac{18\times 5}{8}\sqrt{3}\sqrt{9}$$

Whakareatia te 18 ki te 5, ka 90.

$$\frac{90}{8}\sqrt{3}\sqrt{9}$$

Whakahekea te hautanga \frac{90}{8} ki ōna wāhi pāpaku rawa mā te tango me te whakakore i te 2.

$$\frac{45}{4}\sqrt{3}\sqrt{9}$$

Tātaitia te pūtakerua o 9 kia tae ki 3.

$$\frac{45}{4}\sqrt{3}\times 3$$

Tuhia te \frac{45}{4}\times 3 hei hautanga kotahi.

$$\frac{45\times 3}{4}\sqrt{3}$$

Whakareatia te 45 ki te 3, ka 135.

$$\frac{135}{4}\sqrt{3}$$