Whakaoti i te sqrt{21/12}=

$$\sqrt { 2 \frac { 1 } { 12 } } =$$

Aromātai

$$\frac{5\sqrt{3}}{6}\approx 1.443375673$$

Ngā Upane Otinga

Whakareatia te 2 ki te 12, ka 24.

$$\sqrt{\frac{24+1}{12}}$$

Tāpirihia te 24 ki te 1, ka 25.

$$\sqrt{\frac{25}{12}}$$

Tuhia anō te pūtake rua o te whakawehenga \sqrt{\frac{25}{12}} hei whakawehenga o ngā pūtake rua \frac{\sqrt{25}}{\sqrt{12}}.

$$\frac{\sqrt{25}}{\sqrt{12}}$$

Tātaitia te pūtakerua o 25 kia tae ki 5.

$$\frac{5}{\sqrt{12}}$$

Tauwehea te 12=2^{2}\times 3. Tuhia anō te pūtake rua o te hua \sqrt{2^{2}\times 3} hei hua o ngā pūtake rua \sqrt{2^{2}}\sqrt{3}. Tuhia te pūtakerua o te 2^{2}.

$$\frac{5}{2\sqrt{3}}$$

Whakangāwaritia te tauraro o \frac{5}{2\sqrt{3}} mā te whakarea i te taurunga me te tauraro ki te \sqrt{3}.

$$\frac{5\sqrt{3}}{2\left(\sqrt{3}\right)^{2}}$$

Ko te pūrua o \sqrt{3} ko 3.

$$\frac{5\sqrt{3}}{2\times 3}$$

Whakareatia te 2 ki te 3, ka 6.

$$\frac{5\sqrt{3}}{6}$$