Solve (2)(-2sqrt{5})^2+sqrt{(-3)^2}

$$( 2 ) ( - 2 \sqrt { 5 } ) ^ { 2 } + \sqrt { ( - 3 ) ^ { 2 } }$$

Evaluate

$$43$$

Solution Steps

Expand \left(-2\sqrt{5}\right)^{2}.

$$2\left(-2\right)^{2}\left(\sqrt{5}\right)^{2}+\sqrt{\left(-3\right)^{2}}$$

Calculate -2 to the power of 2 and get 4.

$$2\times 4\left(\sqrt{5}\right)^{2}+\sqrt{\left(-3\right)^{2}}$$

The square of \sqrt{5} is 5.

$$2\times 4\times 5+\sqrt{\left(-3\right)^{2}}$$

Multiply 4 and 5 to get 20.

$$2\times 20+\sqrt{\left(-3\right)^{2}}$$

Multiply 2 and 20 to get 40.

$$40+\sqrt{\left(-3\right)^{2}}$$

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

$$40+\sqrt{9}$$

Calculate the square root of 9 and get 3.

$$40+3$$

Add 40 and 3 to get 43.

$$43$$

Factor

$$43$$