Whakaoti i te 3-sqrt{49+2(3+4^2)div1/2}

$$3 - \sqrt { 49 + 2 ( 3 + 4 ^ { 2 } ) \div 1 / 2 }$$

Aromātai

$$3-5\sqrt{5}\approx -8.180339887$$

Ngā Upane Otinga

Tātaihia te 4 mā te pū o 2, kia riro ko 16.

$$3-\sqrt{49+\frac{2\left(3+16\right)}{\frac{1}{2}}}$$

Tāpirihia te 3 ki te 16, ka 19.

$$3-\sqrt{49+\frac{2\times 19}{\frac{1}{2}}}$$

Whakareatia te 2 ki te 19, ka 38.

$$3-\sqrt{49+\frac{38}{\frac{1}{2}}}$$

Whakawehe 38 ki te \frac{1}{2} mā te whakarea 38 ki te tau huripoki o \frac{1}{2}.

$$3-\sqrt{49+38\times 2}$$

Whakareatia te 38 ki te 2, ka 76.

$$3-\sqrt{49+76}$$

Tāpirihia te 49 ki te 76, ka 125.

$$3-\sqrt{125}$$

Tauwehea te 125=5^{2}\times 5. Tuhia anō te pūtake rua o te hua \sqrt{5^{2}\times 5} hei hua o ngā pūtake rua \sqrt{5^{2}}\sqrt{5}. Tuhia te pūtakerua o te 5^{2}.

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