Whakaoti i te 1/sqrt{{left(frac{1{2}right)}^3}}-3/sqrt{frac{1{2}}}

$$\frac{ 1 }{ \sqrt{ { \left( \frac{ 1 }{ 2 } \right) }^{ 3 } } } - \frac{ 3 }{ \sqrt{ \frac{ 1 }{ 2 } } }$$

Aromātai

$$-\sqrt{2}\approx -1.414213562$$

Ngā Upane Otinga

Tātaihia te \frac{1}{2} mā te pū o 3, kia riro ko \frac{1}{8}.

$$\frac{1}{\sqrt{\frac{1}{8}}}-\frac{3}{\sqrt{\frac{1}{2}}}$$

Tuhia anō te pūtake rua o te whakawehenga \sqrt{\frac{1}{8}} hei whakawehenga o ngā pūtake rua \frac{\sqrt{1}}{\sqrt{8}}.

$$\frac{1}{\frac{\sqrt{1}}{\sqrt{8}}}-\frac{3}{\sqrt{\frac{1}{2}}}$$

Tātaitia te pūtakerua o 1 kia tae ki 1.

$$\frac{1}{\frac{1}{\sqrt{8}}}-\frac{3}{\sqrt{\frac{1}{2}}}$$

Tauwehea te 8=2^{2}\times 2. Tuhia anō te pūtake rua o te hua \sqrt{2^{2}\times 2} hei hua o ngā pūtake rua \sqrt{2^{2}}\sqrt{2}. Tuhia te pūtakerua o te 2^{2}.

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

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

$$\frac{1}{\frac{\sqrt{2}}{2\left(\sqrt{2}\right)^{2}}}-\frac{3}{\sqrt{\frac{1}{2}}}$$

Ko te pūrua o \sqrt{2} ko 2.

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

Whakareatia te 2 ki te 2, ka 4.

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

Whakawehe 1 ki te \frac{\sqrt{2}}{4} mā te whakarea 1 ki te tau huripoki o \frac{\sqrt{2}}{4}.

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

Whakangāwaritia te tauraro o \frac{4}{\sqrt{2}} mā te whakarea i te taurunga me te tauraro ki te \sqrt{2}.

$$\frac{4\sqrt{2}}{\left(\sqrt{2}\right)^{2}}-\frac{3}{\sqrt{\frac{1}{2}}}$$

Ko te pūrua o \sqrt{2} ko 2.

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

Whakawehea te 4\sqrt{2} ki te 2, kia riro ko 2\sqrt{2}.

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

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

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

Tātaitia te pūtakerua o 1 kia tae ki 1.

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

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

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

Ko te pūrua o \sqrt{2} ko 2.

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

Whakawehe 3 ki te \frac{\sqrt{2}}{2} mā te whakarea 3 ki te tau huripoki o \frac{\sqrt{2}}{2}.

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

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

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

Ko te pūrua o \sqrt{2} ko 2.

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

Whakareatia te 3 ki te 2, ka 6.

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

Whakawehea te 6\sqrt{2} ki te 2, kia riro ko 3\sqrt{2}.

$$2\sqrt{2}-3\sqrt{2}$$

Pahekotia te 2\sqrt{2} me -3\sqrt{2}, ka -\sqrt{2}.

$$-\sqrt{2}$$