Solve sqrt{4*(-5)^2-(-3)^2-(-2)*(-5)-(-2)^3}

$$\sqrt { 4 \cdot ( - 5 ) ^ { 2 } - ( - 3 ) ^ { 2 } - ( - 2 ) \cdot ( - 5 ) - ( - 2 ) ^ { 3 } }$$

Evaluate

$$\sqrt{89}\approx 9.433981132$$

Solution Steps

Calculate -5 to the power of 2 and get 25.

$$\sqrt{4\times 25-\left(-3\right)^{2}-\left(-2\left(-5\right)\right)-\left(-2\right)^{3}}$$

Multiply 4 and 25 to get 100.

$$\sqrt{100-\left(-3\right)^{2}-\left(-2\left(-5\right)\right)-\left(-2\right)^{3}}$$

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

$$\sqrt{100-9-\left(-2\left(-5\right)\right)-\left(-2\right)^{3}}$$

Subtract 9 from 100 to get 91.

$$\sqrt{91-\left(-2\left(-5\right)\right)-\left(-2\right)^{3}}$$

Multiply -2 and -5 to get 10.

$$\sqrt{91-10-\left(-2\right)^{3}}$$

Subtract 10 from 91 to get 81.

$$\sqrt{81-\left(-2\right)^{3}}$$

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

$$\sqrt{81-\left(-8\right)}$$

The opposite of -8 is 8.

$$\sqrt{81+8}$$

Add 81 and 8 to get 89.

$$\sqrt{89}$$