Lahenda 325*{left(144*2*13/200right)}^2

$$325 \times { \left( \frac{ 144 \times 2 \times 13 }{ 200 } \right) }^{ 2 }$$

Arvuta

$$\frac{2847312}{25}=113892,48$$

Lahenduse etapid

Korrutage 144 ja 2, et leida 288.

$$325\times \left(\frac{288\times 13}{200}\right)^{2}$$

Korrutage 288 ja 13, et leida 3744.

$$325\times \left(\frac{3744}{200}\right)^{2}$$

Taandage murd \frac{3744}{200} vähimale ühiskordsele, eraldades ja taandades arvu 8.

$$325\times \left(\frac{468}{25}\right)^{2}$$

Arvutage 2 aste \frac{468}{25} ja leidke \frac{219024}{625}.

$$325\times \frac{219024}{625}$$

Korrutage 325 ja \frac{219024}{625}, et leida \frac{2847312}{25}.

$$\frac{2847312}{25}$$

Lahuta teguriteks

$$\frac{2 ^ {4} \cdot 3 ^ {4} \cdot 13 ^ {3}}{5 ^ {2}} = 113892\frac{12}{25} = 113892,48$$