Solve U=sqrt{2^2+(3/2)^2}=

$$U = \sqrt { 2 ^ { 2 } + ( \frac { 3 } { 2 } ) ^ { 2 } } =$$

Solve for U

$$U = \frac{5}{2} = 2\frac{1}{2} = 2.5$$

Steps for Solving Linear Equation

Calculate 2 to the power of 2 and get 4.

$$U=\sqrt{4+\left(\frac{3}{2}\right)^{2}}$$

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

$$U=\sqrt{4+\frac{9}{4}}$$

Convert 4 to fraction \frac{16}{4}.

$$U=\sqrt{\frac{16}{4}+\frac{9}{4}}$$

Since \frac{16}{4} and \frac{9}{4} have the same denominator, add them by adding their numerators.

$$U=\sqrt{\frac{16+9}{4}}$$

Add 16 and 9 to get 25.

$$U=\sqrt{\frac{25}{4}}$$

Rewrite the square root of the division \frac{25}{4} as the division of square roots \frac{\sqrt{25}}{\sqrt{4}}. Take the square root of both numerator and denominator.

$$U=\frac{5}{2}$$

Assign U

$$U≔\frac{5}{2}$$