Solve sqrt{169}+sqrt{625}-sqrt{(-6)^2}-sqrt[4]{(-13)^4}

$$\sqrt { 169 } + \sqrt { 625 } - \sqrt { ( - 6 ) ^ { 2 } } - \sqrt[ 4 ] { ( - 13 ) ^ { 4 } }$$

Evaluate

$$19$$

Solution Steps

Calculate the square root of 169 and get 13.

$$13+\sqrt{625}-\sqrt{\left(-6\right)^{2}}-\sqrt[4]{\left(-13\right)^{4}}$$

Calculate the square root of 625 and get 25.

$$13+25-\sqrt{\left(-6\right)^{2}}-\sqrt[4]{\left(-13\right)^{4}}$$

Add 13 and 25 to get 38.

$$38-\sqrt{\left(-6\right)^{2}}-\sqrt[4]{\left(-13\right)^{4}}$$

Calculate -6 to the power of 2 and get 36.

$$38-\sqrt{36}-\sqrt[4]{\left(-13\right)^{4}}$$

Calculate the square root of 36 and get 6.

$$38-6-\sqrt[4]{\left(-13\right)^{4}}$$

Subtract 6 from 38 to get 32.

$$32-\sqrt[4]{\left(-13\right)^{4}}$$

Calculate -13 to the power of 4 and get 28561.

$$32-\sqrt[4]{28561}$$

Calculate \sqrt[4]{28561} and get 13.

$$32-13$$

Subtract 13 from 32 to get 19.

$$19$$

Factor

$$19$$