Solve -4sqrt{4^2-4(2)(-16)div2(2)}

$$-4 \sqrt{ { 4 }^{ 2 } -4(2)(-16) \div 2(2) }$$

Evaluate

$$-48$$

Solution Steps

Calculate 4 to the power of 2 and get 16.

$$-4\sqrt{16-\frac{4\times 2\left(-16\right)}{2}\times 2}$$

Cancel out 2 and 2.

$$-4\sqrt{16-4\left(-16\right)\times 2}$$

Multiply 4 and -16 to get -64.

$$-4\sqrt{16-\left(-64\times 2\right)}$$

Multiply -64 and 2 to get -128.

$$-4\sqrt{16-\left(-128\right)}$$

The opposite of -128 is 128.

$$-4\sqrt{16+128}$$

Add 16 and 128 to get 144.

$$-4\sqrt{144}$$

Calculate the square root of 144 and get 12.

$$-4\times 12$$

Multiply -4 and 12 to get -48.

$$-48$$

Factor

$$-48$$