Whakaoti i te sqrt[3]{27}-4sqrt{64}+3sqrt[4]{625}+5sqrt{25}-9sqrt{2}

$$\sqrt[ 3 ] { 27 } - 4 \sqrt { 64 } + 3 \sqrt[ 4 ] { 625 } + 5 \sqrt { 25 } - 9 \sqrt { 2 }$$

Aromātai

$$11-9\sqrt{2}\approx -1.727922061$$

Ngā Upane Otinga

Tātaitia te \sqrt[3]{27} kia tae ki 3.

$$3-4\sqrt{64}+3\sqrt[4]{625}+5\sqrt{25}-9\sqrt{2}$$

Tātaitia te pūtakerua o 64 kia tae ki 8.

$$3-4\times 8+3\sqrt[4]{625}+5\sqrt{25}-9\sqrt{2}$$

Whakareatia te -4 ki te 8, ka -32.

$$3-32+3\sqrt[4]{625}+5\sqrt{25}-9\sqrt{2}$$

Tangohia te 32 i te 3, ka -29.

$$-29+3\sqrt[4]{625}+5\sqrt{25}-9\sqrt{2}$$

Tātaitia te \sqrt[4]{625} kia tae ki 5.

$$-29+3\times 5+5\sqrt{25}-9\sqrt{2}$$

Whakareatia te 3 ki te 5, ka 15.

$$-29+15+5\sqrt{25}-9\sqrt{2}$$

Tāpirihia te -29 ki te 15, ka -14.

$$-14+5\sqrt{25}-9\sqrt{2}$$

Tātaitia te pūtakerua o 25 kia tae ki 5.

$$-14+5\times 5-9\sqrt{2}$$

Whakareatia te 5 ki te 5, ka 25.

$$-14+25-9\sqrt{2}$$

Tāpirihia te -14 ki te 25, ka 11.

$$11-9\sqrt{2}$$