Solve 2sqrt{(-3)^2}+sqrt[3]{(-2)^3}

$$2 \sqrt { ( - 3 ) ^ { 2 } } + \sqrt[ 3 ] { ( - 2 ) ^ { 3 } }$$

Evaluate

$$4$$

Solution Steps

Calculate -3 to the power of 2 and get 9.

$$2\sqrt{9}+\sqrt[3]{\left(-2\right)^{3}}$$

Calculate the square root of 9 and get 3.

$$2\times 3+\sqrt[3]{\left(-2\right)^{3}}$$

Multiply 2 and 3 to get 6.

$$6+\sqrt[3]{\left(-2\right)^{3}}$$

Calculate -2 to the power of 3 and get -8.

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

Calculate \sqrt[3]{-8} and get -2.

$$6-2$$

Subtract 2 from 6 to get 4.

$$4$$

Factor

$$2^{2}$$