Solve sqrt{9}+sqrt[4]{81}+sqrt[3]{1}-sqrt[4]{3^8}

$$\sqrt { 9 } + \sqrt[ 4 ] { 81 } + \sqrt[ 3 ] { 1 } - \sqrt[ 4 ] { 3 ^ { 8 } }$$

Evaluate

$$-2$$

Solution Steps

Calculate the square root of 9 and get 3.

$$3+\sqrt[4]{81}+\sqrt[3]{1}-\sqrt[4]{3^{8}}$$

Calculate \sqrt[4]{81} and get 3.

$$3+3+\sqrt[3]{1}-\sqrt[4]{3^{8}}$$

Add 3 and 3 to get 6.

$$6+\sqrt[3]{1}-\sqrt[4]{3^{8}}$$

Calculate \sqrt[3]{1} and get 1.

$$6+1-\sqrt[4]{3^{8}}$$

Add 6 and 1 to get 7.

$$7-\sqrt[4]{3^{8}}$$

Calculate 3 to the power of 8 and get 6561.

$$7-\sqrt[4]{6561}$$

Calculate \sqrt[4]{6561} and get 9.

$$7-9$$

Subtract 9 from 7 to get -2.

$$-2$$

Factor

$$-2$$