Whakaoti i te frac{sqrt{48}}{sqrt{64}}*2/sqrt{3}=

$$\frac { \sqrt { 48 } } { \sqrt { 64 } } \times \frac { 2 } { \sqrt { 3 } } =$$

Aromātai

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Ngā Upane Otinga

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}.

$$\frac{4\sqrt{3}}{\sqrt{64}}\times \frac{2}{\sqrt{3}}$$

Tātaitia te pūtakerua o 64 kia tae ki 8.

$$\frac{4\sqrt{3}}{8}\times \frac{2}{\sqrt{3}}$$

Whakawehea te 4\sqrt{3} ki te 8, kia riro ko \frac{1}{2}\sqrt{3}.

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

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

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

Ko te pūrua o \sqrt{3} ko 3.

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

Me whakarea te \frac{1}{2} ki te \frac{2\sqrt{3}}{3} mā te whakarea taurunga ki te taurunga me te tauraro ki te tauraro.

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

Me whakakore tahi te 2 i te taurunga me te tauraro.

$$\frac{\sqrt{3}}{3}\sqrt{3}$$

Tuhia te \frac{\sqrt{3}}{3}\sqrt{3} hei hautanga kotahi.

$$\frac{\sqrt{3}\sqrt{3}}{3}$$

Whakareatia te \sqrt{3} ki te \sqrt{3}, ka 3.

$$\frac{3}{3}$$

Whakawehea te 3 ki te 3, kia riro ko 1.

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Tauwehe

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