Whakaoti i te {left(3/2*1/4+1/5*10/3right)}^2+1=

$${ \left( \frac{ 3 }{ 2 } \times \frac{ 1 }{ 4 } + \frac{ 1 }{ 5 } \times \frac{ 10 }{ 3 } \right) }^{ 2 } +1=$$

Aromātai

$$\frac{1201}{576}\approx 2.085069444$$

Ngā Upane Otinga

Whakareatia te \frac{3}{2} ki te \frac{1}{4}, ka \frac{3}{8}.

$$\left(\frac{3}{8}+\frac{1}{5}\times \frac{10}{3}\right)^{2}+1$$

Whakareatia te \frac{1}{5} ki te \frac{10}{3}, ka \frac{2}{3}.

$$\left(\frac{3}{8}+\frac{2}{3}\right)^{2}+1$$

Tāpirihia te \frac{3}{8} ki te \frac{2}{3}, ka \frac{25}{24}.

$$\left(\frac{25}{24}\right)^{2}+1$$

Tātaihia te \frac{25}{24} mā te pū o 2, kia riro ko \frac{625}{576}.

$$\frac{625}{576}+1$$

Tāpirihia te \frac{625}{576} ki te 1, ka \frac{1201}{576}.

$$\frac{1201}{576}$$

Tauwehe

$$\frac{1201}{2 ^ {6} \cdot 3 ^ {2}} = 2\frac{49}{576} = 2.0850694444444446$$