Whakaoti i te sqrt{27}-2*(1+sqrt{9}+2*sqrt{27}+sqrt{36}-2*sqrt{3}-sqrt{4}-sqrt{64})

$$\sqrt { 27 } - 2 \cdot ( 1 + \sqrt { 9 } + 2 \cdot \sqrt { 27 } + \sqrt { 36 } - 2 \cdot \sqrt { 3 } - \sqrt { 4 } - \sqrt { 64 } )$$

Aromātai

$$-5\sqrt{3}\approx -8.660254038$$

Ngā Upane Otinga

Tauwehea te 27=3^{2}\times 3. Tuhia anō te pūtake rua o te hua \sqrt{3^{2}\times 3} hei hua o ngā pūtake rua \sqrt{3^{2}}\sqrt{3}. Tuhia te pūtakerua o te 3^{2}.

$$3\sqrt{3}-2\left(1+\sqrt{9}+2\sqrt{27}+\sqrt{36}-2\sqrt{3}-\sqrt{4}-\sqrt{64}\right)$$

Tātaitia te pūtakerua o 9 kia tae ki 3.

$$3\sqrt{3}-2\left(1+3+2\sqrt{27}+\sqrt{36}-2\sqrt{3}-\sqrt{4}-\sqrt{64}\right)$$

Tāpirihia te 1 ki te 3, ka 4.

$$3\sqrt{3}-2\left(4+2\sqrt{27}+\sqrt{36}-2\sqrt{3}-\sqrt{4}-\sqrt{64}\right)$$

Tauwehea te 27=3^{2}\times 3. Tuhia anō te pūtake rua o te hua \sqrt{3^{2}\times 3} hei hua o ngā pūtake rua \sqrt{3^{2}}\sqrt{3}. Tuhia te pūtakerua o te 3^{2}.

$$3\sqrt{3}-2\left(4+2\times 3\sqrt{3}+\sqrt{36}-2\sqrt{3}-\sqrt{4}-\sqrt{64}\right)$$

Whakareatia te 2 ki te 3, ka 6.

$$3\sqrt{3}-2\left(4+6\sqrt{3}+\sqrt{36}-2\sqrt{3}-\sqrt{4}-\sqrt{64}\right)$$

Tātaitia te pūtakerua o 36 kia tae ki 6.

$$3\sqrt{3}-2\left(4+6\sqrt{3}+6-2\sqrt{3}-\sqrt{4}-\sqrt{64}\right)$$

Tāpirihia te 4 ki te 6, ka 10.

$$3\sqrt{3}-2\left(10+6\sqrt{3}-2\sqrt{3}-\sqrt{4}-\sqrt{64}\right)$$

Pahekotia te 6\sqrt{3} me -2\sqrt{3}, ka 4\sqrt{3}.

$$3\sqrt{3}-2\left(10+4\sqrt{3}-\sqrt{4}-\sqrt{64}\right)$$

Tātaitia te pūtakerua o 4 kia tae ki 2.

$$3\sqrt{3}-2\left(10+4\sqrt{3}-2-\sqrt{64}\right)$$

Tangohia te 2 i te 10, ka 8.

$$3\sqrt{3}-2\left(8+4\sqrt{3}-\sqrt{64}\right)$$

Tātaitia te pūtakerua o 64 kia tae ki 8.

$$3\sqrt{3}-2\left(8+4\sqrt{3}-8\right)$$

Tangohia te 8 i te 8, ka 0.

$$3\sqrt{3}-2\times 4\sqrt{3}$$

Whakareatia te 2 ki te 4, ka 8.

$$3\sqrt{3}-8\sqrt{3}$$

Pahekotia te 3\sqrt{3} me -8\sqrt{3}, ka -5\sqrt{3}.

$$-5\sqrt{3}$$