Lahenda frac{10sqrt{6}}{9}*frac{2sqrt{3}}{3}*9sqrt{6}

$$\frac{ 10 \sqrt{ 6 } }{ 9 } \times \frac{ 2 \sqrt{ 3 } }{ 3 } \times 9 \sqrt{ 6 }$$

Arvuta

$$40\sqrt{3}\approx 69,282032303$$

Lahenduse etapid

Taandage 9 ja 9.

$$10\sqrt{6}\times \frac{2\sqrt{3}}{3}\sqrt{6}$$

Avaldage 10\sqrt{6}\times \frac{2\sqrt{3}}{3} ühe murdarvuna.

$$\frac{10\sqrt{6}\times 2\sqrt{3}}{3}\sqrt{6}$$

Avaldage \frac{10\sqrt{6}\times 2\sqrt{3}}{3}\sqrt{6} ühe murdarvuna.

$$\frac{10\sqrt{6}\times 2\sqrt{3}\sqrt{6}}{3}$$

Korrutage \sqrt{6} ja \sqrt{6}, et leida 6.

$$\frac{10\times 6\times 2\sqrt{3}}{3}$$

Korrutage 10 ja 6, et leida 60.

$$\frac{60\times 2\sqrt{3}}{3}$$

Korrutage 60 ja 2, et leida 120.

$$\frac{120\sqrt{3}}{3}$$

Jagage 120\sqrt{3} väärtusega 3, et leida 40\sqrt{3}.

$$40\sqrt{3}$$