Solve 3/2sqrt{3}left(.12right)^2

$$\frac{ 3 }{ 2 } \sqrt{ 3 } { \left(.12 \right) }^{ 2 }$$

Evaluate

$$\frac{27\sqrt{3}}{1250}\approx 0.037412297$$

Solution Steps

Calculate 0.12 to the power of 2 and get 0.0144.

$$\frac{3}{2}\sqrt{3}\times 0.0144$$

Convert decimal number 0.0144 to fraction \frac{144}{10000}. Reduce the fraction \frac{144}{10000} to lowest terms by extracting and canceling out 16.

$$\frac{3}{2}\sqrt{3}\times \frac{9}{625}$$

Multiply \frac{3}{2} times \frac{9}{625} by multiplying numerator times numerator and denominator times denominator.

$$\frac{3\times 9}{2\times 625}\sqrt{3}$$

Do the multiplications in the fraction \frac{3\times 9}{2\times 625}.

$$\frac{27}{1250}\sqrt{3}$$