Solve sqrt{(-3)^2+(-4)^2}-2(-3)(-4)

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

Evaluate

$$-19$$

Solution Steps

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

$$\sqrt{9+\left(-4\right)^{2}}-2\left(-3\right)\left(-4\right)$$

Calculate -4 to the power of 2 and get 16.

$$\sqrt{9+16}-2\left(-3\right)\left(-4\right)$$

Add 9 and 16 to get 25.

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

Calculate the square root of 25 and get 5.

$$5-2\left(-3\right)\left(-4\right)$$

Multiply 2 and -3 to get -6.

$$5-\left(-6\left(-4\right)\right)$$

Multiply -6 and -4 to get 24.

$$5-24$$

Subtract 24 from 5 to get -19.

$$-19$$

Factor

$$-19$$