Whakaoti i te 147sqrt{24div45}

$$147 \sqrt{ 24 \div 45 }$$

Aromātai

$$\frac{98\sqrt{30}}{5}\approx 107.353621271$$

Ngā Upane Otinga

Whakahekea te hautanga \frac{24}{45} ki ōna wāhi pāpaku rawa mā te tango me te whakakore i te 3.

$$147\sqrt{\frac{8}{15}}$$

Tuhia anō te pūtake rua o te whakawehenga \sqrt{\frac{8}{15}} hei whakawehenga o ngā pūtake rua \frac{\sqrt{8}}{\sqrt{15}}.

$$147\times \frac{\sqrt{8}}{\sqrt{15}}$$

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}.

$$147\times \frac{2\sqrt{2}}{\sqrt{15}}$$

Whakangāwaritia te tauraro o \frac{2\sqrt{2}}{\sqrt{15}} mā te whakarea i te taurunga me te tauraro ki te \sqrt{15}.

$$147\times \frac{2\sqrt{2}\sqrt{15}}{\left(\sqrt{15}\right)^{2}}$$

Ko te pūrua o \sqrt{15} ko 15.

$$147\times \frac{2\sqrt{2}\sqrt{15}}{15}$$

Hei whakarea \sqrt{2} me \sqrt{15}, whakareatia ngā tau i raro i te pūtake rua.

$$147\times \frac{2\sqrt{30}}{15}$$

Tuhia te 147\times \frac{2\sqrt{30}}{15} hei hautanga kotahi.

$$\frac{147\times 2\sqrt{30}}{15}$$

Whakareatia te 147 ki te 2, ka 294.

$$\frac{294\sqrt{30}}{15}$$

Whakawehea te 294\sqrt{30} ki te 15, kia riro ko \frac{98}{5}\sqrt{30}.

$$\frac{98}{5}\sqrt{30}$$