Whakaoti i te sqrt{21/2}-3sqrt{28}

$$\sqrt { 2 \frac { 1 } { 2 } } - 3 \sqrt { 28 }$$

Aromātai

$$\frac{\sqrt{10}}{2}-6\sqrt{7}\approx -14.293369036$$

Ngā Hipanga Rongoā Poto

Whakareatia te 2 ki te 2, ka 4.

$$\sqrt{\frac{4+1}{2}}-3\sqrt{28}$$

Tāpirihia te 4 ki te 1, ka 5.

$$\sqrt{\frac{5}{2}}-3\sqrt{28}$$

Tuhia anō te pūtake rua o te whakawehenga \sqrt{\frac{5}{2}} hei whakawehenga o ngā pūtake rua \frac{\sqrt{5}}{\sqrt{2}}.

$$\frac{\sqrt{5}}{\sqrt{2}}-3\sqrt{28}$$

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

$$\frac{\sqrt{5}\sqrt{2}}{\left(\sqrt{2}\right)^{2}}-3\sqrt{28}$$

Ko te pūrua o \sqrt{2} ko 2.

$$\frac{\sqrt{5}\sqrt{2}}{2}-3\sqrt{28}$$

Hei whakarea \sqrt{5} me \sqrt{2}, whakareatia ngā tau i raro i te pūtake rua.

$$\frac{\sqrt{10}}{2}-3\sqrt{28}$$

Tauwehea te 28=2^{2}\times 7. Tuhia anō te pūtake rua o te hua \sqrt{2^{2}\times 7} hei hua o ngā pūtake rua \sqrt{2^{2}}\sqrt{7}. Tuhia te pūtakerua o te 2^{2}.

$$\frac{\sqrt{10}}{2}-3\times 2\sqrt{7}$$

Whakareatia te -3 ki te 2, ka -6.

$$\frac{\sqrt{10}}{2}-6\sqrt{7}$$

Hei tāpiri, hei tango kīanga rānei, me whakaroha ērā kia rite ā rātou tauraro. Whakareatia -6\sqrt{7} ki te \frac{2}{2}.

$$\frac{\sqrt{10}}{2}+\frac{2\left(-6\right)\sqrt{7}}{2}$$

Tā te mea he rite te tauraro o \frac{\sqrt{10}}{2} me \frac{2\left(-6\right)\sqrt{7}}{2}, me tāpiri rāua mā te tāpiri i ō raua taurunga.

$$\frac{\sqrt{10}+2\left(-6\right)\sqrt{7}}{2}$$

Mahia ngā whakarea i roto o \sqrt{10}+2\left(-6\right)\sqrt{7}.

$$\frac{\sqrt{10}-12\sqrt{7}}{2}$$