Solve sqrt{(16/2)^2+(3/2)^2}=

$$\sqrt { ( \frac { 16 } { 2 } ) ^ { 2 } + ( \frac { 3 } { 2 } ) ^ { 2 } } =$$

Evaluate

$$\frac{\sqrt{265}}{2}\approx 8.139410298$$

Solution Steps

Divide 16 by 2 to get 8.

$$\sqrt{8^{2}+\left(\frac{3}{2}\right)^{2}}$$

Calculate 8 to the power of 2 and get 64.

$$\sqrt{64+\left(\frac{3}{2}\right)^{2}}$$

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

$$\sqrt{64+\frac{9}{4}}$$

Add 64 and \frac{9}{4} to get \frac{265}{4}.

$$\sqrt{\frac{265}{4}}$$

Rewrite the square root of the division \sqrt{\frac{265}{4}} as the division of square roots \frac{\sqrt{265}}{\sqrt{4}}.

$$\frac{\sqrt{265}}{\sqrt{4}}$$

Calculate the square root of 4 and get 2.

$$\frac{\sqrt{265}}{2}$$