Whakaoti i te sqrt{1-11/48}

$$\sqrt { 1 - \frac { 11 } { 48 } }$$

Aromātai

$$\frac{\sqrt{111}}{12}\approx 0.877971146$$

Ngā Upane Otinga

Me tahuri te 1 ki te hautau \frac{48}{48}.

$$\sqrt{\frac{48}{48}-\frac{11}{48}}$$

Tā te mea he rite te tauraro o \frac{48}{48} me \frac{11}{48}, me tango rāua mā te tango i ō raua taurunga.

$$\sqrt{\frac{48-11}{48}}$$

Tangohia te 11 i te 48, ka 37.

$$\sqrt{\frac{37}{48}}$$

Tuhia anō te pūtake rua o te whakawehenga \sqrt{\frac{37}{48}} hei whakawehenga o ngā pūtake rua \frac{\sqrt{37}}{\sqrt{48}}.

$$\frac{\sqrt{37}}{\sqrt{48}}$$

Tauwehea te 48=4^{2}\times 3. Tuhia anō te pūtake rua o te hua \sqrt{4^{2}\times 3} hei hua o ngā pūtake rua \sqrt{4^{2}}\sqrt{3}. Tuhia te pūtakerua o te 4^{2}.

$$\frac{\sqrt{37}}{4\sqrt{3}}$$

Whakangāwaritia te tauraro o \frac{\sqrt{37}}{4\sqrt{3}} mā te whakarea i te taurunga me te tauraro ki te \sqrt{3}.

$$\frac{\sqrt{37}\sqrt{3}}{4\left(\sqrt{3}\right)^{2}}$$

Ko te pūrua o \sqrt{3} ko 3.

$$\frac{\sqrt{37}\sqrt{3}}{4\times 3}$$

Hei whakarea \sqrt{37} me \sqrt{3}, whakareatia ngā tau i raro i te pūtake rua.

$$\frac{\sqrt{111}}{4\times 3}$$

Whakareatia te 4 ki te 3, ka 12.

$$\frac{\sqrt{111}}{12}$$