Whakaoti i te sqrt{(1+6^2)[(144/36)^2-4*121/36}

$$\sqrt { ( 1 + 6 ^ { 2 } ) [ ( \frac { 144 } { 36 } ) ^ { 2 } - 4 \times \frac { 121 } { 36 } }$$

Aromātai

$$\frac{\sqrt{851}}{3}\approx 9.723968097$$

Ngā Upane Otinga

Tātaihia te 6 mā te pū o 2, kia riro ko 36.

$$\sqrt{\left(1+36\right)\left(\left(\frac{144}{36}\right)^{2}-4\times \frac{121}{36}\right)}$$

Tāpirihia te 1 ki te 36, ka 37.

$$\sqrt{37\left(\left(\frac{144}{36}\right)^{2}-4\times \frac{121}{36}\right)}$$

Whakawehea te 144 ki te 36, kia riro ko 4.

$$\sqrt{37\left(4^{2}-4\times \frac{121}{36}\right)}$$

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

$$\sqrt{37\left(16-4\times \frac{121}{36}\right)}$$

Whakareatia te 4 ki te \frac{121}{36}, ka \frac{121}{9}.

$$\sqrt{37\left(16-\frac{121}{9}\right)}$$

Tangohia te \frac{121}{9} i te 16, ka \frac{23}{9}.

$$\sqrt{37\times \frac{23}{9}}$$

Whakareatia te 37 ki te \frac{23}{9}, ka \frac{851}{9}.

$$\sqrt{\frac{851}{9}}$$

Tuhia anō te pūtake rua o te whakawehenga \sqrt{\frac{851}{9}} hei whakawehenga o ngā pūtake rua \frac{\sqrt{851}}{\sqrt{9}}.

$$\frac{\sqrt{851}}{\sqrt{9}}$$

Tātaitia te pūtakerua o 9 kia tae ki 3.

$$\frac{\sqrt{851}}{3}$$