Solve frac{6sqrt{5}}{5}*12frac{sqrt{5}}{5}*0.5

$$\frac{ 6 \sqrt{ 5 } }{ 5 } \times 12 \frac{ \sqrt{ 5 } }{ 5 } \times 0.5$$

Evaluate

$$7.2$$

Solution Steps

Multiply 0.5 and 12 to get 6.

$$6\times \frac{6\sqrt{5}}{5}\times \frac{\sqrt{5}}{5}$$

Express 6\times \frac{6\sqrt{5}}{5} as a single fraction.

$$\frac{6\times 6\sqrt{5}}{5}\times \frac{\sqrt{5}}{5}$$

Multiply \frac{6\times 6\sqrt{5}}{5} times \frac{\sqrt{5}}{5} by multiplying numerator times numerator and denominator times denominator.

$$\frac{6\times 6\sqrt{5}\sqrt{5}}{5\times 5}$$

Multiply \sqrt{5} and \sqrt{5} to get 5.

$$\frac{6\times 6\times 5}{5\times 5}$$

Cancel out 5 in both numerator and denominator.

$$\frac{6\times 6}{5}$$

Multiply 6 and 6 to get 36.

$$\frac{36}{5}$$

Factor

$$\frac{2 ^ {2} \cdot 3 ^ {2}}{5} = 7\frac{1}{5} = 7.2$$