Solve sqrt{(44/25)^2+(117/25)^2}

$$\sqrt { ( \frac { 44 } { 25 } ) ^ { 2 } + ( \frac { 117 } { 25 } ) ^ { 2 } }$$

Evaluate

$$5$$

Solution Steps

Calculate \frac{44}{25} to the power of 2 and get \frac{1936}{625}.

$$\sqrt{\frac{1936}{625}+\left(\frac{117}{25}\right)^{2}}$$

Calculate \frac{117}{25} to the power of 2 and get \frac{13689}{625}.

$$\sqrt{\frac{1936}{625}+\frac{13689}{625}}$$

Since \frac{1936}{625} and \frac{13689}{625} have the same denominator, add them by adding their numerators.

$$\sqrt{\frac{1936+13689}{625}}$$

Add 1936 and 13689 to get 15625.

$$\sqrt{\frac{15625}{625}}$$

Divide 15625 by 625 to get 25.

$$\sqrt{25}$$

Calculate the square root of 25 and get 5.

$$5$$

Factor

$$5$$