Solve sqrt[5]{sqrt{169}+19}+sqrt[8]{256}-sqrt[3]{-27}

$$\sqrt[ 5 ] { \sqrt { 169 } + 19 } + \sqrt[ 8 ] { 256 } - \sqrt[ 3 ] { - 27 }$$

Evaluate

$$7$$

Solution Steps

Calculate the square root of 169 and get 13.

$$\sqrt[5]{13+19}+\sqrt[8]{256}-\sqrt[3]{-27}$$

Add 13 and 19 to get 32.

$$\sqrt[5]{32}+\sqrt[8]{256}-\sqrt[3]{-27}$$

Calculate \sqrt[5]{32} and get 2.

$$2+\sqrt[8]{256}-\sqrt[3]{-27}$$

Calculate \sqrt[8]{256} and get 2.

$$2+2-\sqrt[3]{-27}$$

Add 2 and 2 to get 4.

$$4-\sqrt[3]{-27}$$

Calculate \sqrt[3]{-27} and get -3.

$$4-\left(-3\right)$$

The opposite of -3 is 3.

$$4+3$$

Add 4 and 3 to get 7.

$$7$$

Factor

$$7$$