Whakaoti i te 3/2sqrt{20}*(sqrt{15})*(-1/3sqrt{48})

$$\frac { 3 } { 2 } \sqrt { 20 } \times ( \sqrt { 15 } ) \times ( - \frac { 1 } { 3 } \sqrt { 48 } )$$

Aromātai

$$-60$$

Ngā Upane Otinga

Tauwehea te 20=2^{2}\times 5. Tuhia anō te pūtake rua o te hua \sqrt{2^{2}\times 5} hei hua o ngā pūtake rua \sqrt{2^{2}}\sqrt{5}. Tuhia te pūtakerua o te 2^{2}.

$$\frac{3}{2}\times 2\sqrt{5}\sqrt{15}\left(-\frac{1}{3}\right)\sqrt{48}$$

Me whakakore te 2 me te 2.

$$3\sqrt{5}\sqrt{15}\left(-\frac{1}{3}\right)\sqrt{48}$$

Me whakakore te 3 me te 3.

$$-\sqrt{5}\sqrt{15}\sqrt{48}$$

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}.

$$-\sqrt{5}\sqrt{15}\times 4\sqrt{3}$$

Whakareatia te -1 ki te 4, ka -4.

$$-4\sqrt{5}\sqrt{15}\sqrt{3}$$

Tauwehea te 15=5\times 3. Tuhia anō te pūtake rua o te hua \sqrt{5\times 3} hei hua o ngā pūtake rua \sqrt{5}\sqrt{3}.

$$-4\sqrt{5}\sqrt{5}\sqrt{3}\sqrt{3}$$

Whakareatia te \sqrt{5} ki te \sqrt{5}, ka 5.

$$-4\times 5\sqrt{3}\sqrt{3}$$

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

$$-4\times 5\times 3$$

Whakareatia te -4 ki te 5, ka -20.

$$-20\times 3$$

Whakareatia te -20 ki te 3, ka -60.

$$-60$$

Tauwehe

$$-60$$