Whakaoti i te (2-sqrt{3})+(1/3)^-1-(3-7sqrt{2})^0-(-1)^2018+sqrt{4}+(1/4)^-2

$$( 2 - \sqrt { 3 } ) + ( \frac { 1 } { 3 } ) ^ { - 1 } - ( 3 - 7 \sqrt { 2 } ) ^ { 0 } - ( - 1 ) ^ { 2018 } + \sqrt { 4 } + ( \frac { 1 } { 4 } ) ^ { - 2 }$$

Aromātai

$$21-\sqrt{3}\approx 19.267949192$$

Ngā Upane Otinga

Tātaihia te \frac{1}{3} mā te pū o -1, kia riro ko 3.

$$2-\sqrt{3}+3-\left(3-7\sqrt{2}\right)^{0}-\left(-1\right)^{2018}+\sqrt{4}+\left(\frac{1}{4}\right)^{-2}$$

Tāpirihia te 2 ki te 3, ka 5.

$$5-\sqrt{3}-\left(3-7\sqrt{2}\right)^{0}-\left(-1\right)^{2018}+\sqrt{4}+\left(\frac{1}{4}\right)^{-2}$$

Tātaihia te 3-7\sqrt{2} mā te pū o 0, kia riro ko 1.

$$5-\sqrt{3}-1-\left(-1\right)^{2018}+\sqrt{4}+\left(\frac{1}{4}\right)^{-2}$$

Tangohia te 1 i te 5, ka 4.

$$4-\sqrt{3}-\left(-1\right)^{2018}+\sqrt{4}+\left(\frac{1}{4}\right)^{-2}$$

Tātaihia te -1 mā te pū o 2018, kia riro ko 1.

$$4-\sqrt{3}-1+\sqrt{4}+\left(\frac{1}{4}\right)^{-2}$$

Tangohia te 1 i te 4, ka 3.

$$3-\sqrt{3}+\sqrt{4}+\left(\frac{1}{4}\right)^{-2}$$

Tātaitia te pūtakerua o 4 kia tae ki 2.

$$3-\sqrt{3}+2+\left(\frac{1}{4}\right)^{-2}$$

Tāpirihia te 3 ki te 2, ka 5.

$$5-\sqrt{3}+\left(\frac{1}{4}\right)^{-2}$$

Tātaihia te \frac{1}{4} mā te pū o -2, kia riro ko 16.

$$5-\sqrt{3}+16$$

Tāpirihia te 5 ki te 16, ka 21.

$$21-\sqrt{3}$$