Solve frac{10*4sqrt{3}}{1/2sqrt{3}}

$$\frac{ 10 \times 4 \sqrt{ 3 } }{ \frac{ 1 }{ 2 } \sqrt{ 3 } }$$

Evaluate

$$80$$

Solution Steps

Cancel out \sqrt{3} in both numerator and denominator.

$$\frac{4\times 10}{\frac{1}{2}}$$

Multiply 4 and 10 to get 40.

$$\frac{40}{\frac{1}{2}}$$

Divide 40 by \frac{1}{2} by multiplying 40 by the reciprocal of \frac{1}{2}.

$$40\times 2$$

Multiply 40 and 2 to get 80.

$$80$$

Factor

$$2^{4}\times 5$$