Whakaoti i te frac{sqrt{2}*(-9sqrt{15})*sqrt{2}}{-2sqrt{5}}

$$\frac { \sqrt { 2 } \times ( - 9 \sqrt { 15 } ) \times \sqrt { 2 } } { - 2 \sqrt { 5 } }$$

Aromātai

$$9\sqrt{3}\approx 15.588457268$$

Ngā Upane Otinga

Whakareatia te \sqrt{2} ki te \sqrt{2}, ka 2.

$$\frac{2\left(-9\right)\sqrt{15}}{-2\sqrt{5}}$$

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

$$\frac{-9\sqrt{15}}{-\sqrt{5}}$$

Me whakakore tahi te -1 i te taurunga me te tauraro.

$$\frac{9\sqrt{15}}{\sqrt{5}}$$

Whakangāwaritia te tauraro o \frac{9\sqrt{15}}{\sqrt{5}} mā te whakarea i te taurunga me te tauraro ki te \sqrt{5}.

$$\frac{9\sqrt{15}\sqrt{5}}{\left(\sqrt{5}\right)^{2}}$$

Ko te pūrua o \sqrt{5} ko 5.

$$\frac{9\sqrt{15}\sqrt{5}}{5}$$

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}.

$$\frac{9\sqrt{5}\sqrt{3}\sqrt{5}}{5}$$

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

$$\frac{9\times 5\sqrt{3}}{5}$$

Me whakakore te 5 me te 5.

$$9\sqrt{3}$$