Solve sqrt{(-6)^2+(-8)^2}+sqrt[4]{256}

$$\sqrt { ( - 6 ) ^ { 2 } + ( - 8 ) ^ { 2 } } + \sqrt[ 4 ] { 256 }$$

Evaluate

$$14$$

Solution Steps

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

$$\sqrt{36+\left(-8\right)^{2}}+\sqrt[4]{256}$$

Calculate -8 to the power of 2 and get 64.

$$\sqrt{36+64}+\sqrt[4]{256}$$

Add 36 and 64 to get 100.

$$\sqrt{100}+\sqrt[4]{256}$$

Calculate the square root of 100 and get 10.

$$10+\sqrt[4]{256}$$

Calculate \sqrt[4]{256} and get 4.

$$10+4$$

Add 10 and 4 to get 14.

$$14$$

Factor

$$2\times 7$$