Solve sqrt{{left(7-4/2right)}^2}+12

$$\sqrt{ { \left( \frac{ 7-4 }{ 2 } \right) }^{ 2 } } +12$$

Evaluate

$$\frac{27}{2}=13.5$$

Solution Steps

Subtract 4 from 7 to get 3.

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

Calculate \frac{3}{2} to the power of 2 and get \frac{9}{4}.

$$\sqrt{\frac{9}{4}}+12$$

Rewrite the square root of the division \frac{9}{4} as the division of square roots \frac{\sqrt{9}}{\sqrt{4}}. Take the square root of both numerator and denominator.

$$\frac{3}{2}+12$$

Add \frac{3}{2} and 12 to get \frac{27}{2}.

$$\frac{27}{2}$$

Factor

$$\frac{3 ^ {3}}{2} = 13\frac{1}{2} = 13.5$$