Whakaoti i te sqrt{24}-sqrt{1/2}

$$\sqrt { 24 } - \sqrt { \frac { 1 } { 2 } }$$

Aromātai

$$-\frac{\sqrt{2}}{2}+2\sqrt{6}\approx 4.191872704$$

Ngā Hipanga Rongoā Poto

Tauwehea te 24=2^{2}\times 6. Tuhia anō te pūtake rua o te hua \sqrt{2^{2}\times 6} hei hua o ngā pūtake rua \sqrt{2^{2}}\sqrt{6}. Tuhia te pūtakerua o te 2^{2}.

$$2\sqrt{6}-\sqrt{\frac{1}{2}}$$

Tuhia anō te pūtake rua o te whakawehenga \sqrt{\frac{1}{2}} hei whakawehenga o ngā pūtake rua \frac{\sqrt{1}}{\sqrt{2}}.

$$2\sqrt{6}-\frac{\sqrt{1}}{\sqrt{2}}$$

Tātaitia te pūtakerua o 1 kia tae ki 1.

$$2\sqrt{6}-\frac{1}{\sqrt{2}}$$

Whakangāwaritia te tauraro o \frac{1}{\sqrt{2}} mā te whakarea i te taurunga me te tauraro ki te \sqrt{2}.

$$2\sqrt{6}-\frac{\sqrt{2}}{\left(\sqrt{2}\right)^{2}}$$

Ko te pūrua o \sqrt{2} ko 2.

$$2\sqrt{6}-\frac{\sqrt{2}}{2}$$

Hei tāpiri, hei tango kīanga rānei, me whakaroha ērā kia rite ā rātou tauraro. Whakareatia 2\sqrt{6} ki te \frac{2}{2}.

$$\frac{2\times 2\sqrt{6}}{2}-\frac{\sqrt{2}}{2}$$

Tā te mea he rite te tauraro o \frac{2\times 2\sqrt{6}}{2} me \frac{\sqrt{2}}{2}, me tango rāua mā te tango i ō raua taurunga.

$$\frac{2\times 2\sqrt{6}-\sqrt{2}}{2}$$

Mahia ngā whakarea i roto o 2\times 2\sqrt{6}-\sqrt{2}.

$$\frac{4\sqrt{6}-\sqrt{2}}{2}$$