Solve frac{-(-14)-sqrt{-14^2}-(4*2*24)}{2*2}

$$\frac{ -(-14)- \sqrt{ { -14 }^{ 2 } } -(4 \times 2 \times 24) }{ 2 \times 2 }$$

Evaluate

$$-48$$

Solution Steps

The opposite of -14 is 14.

$$\frac{14-\sqrt{\left(-14\right)^{2}}-4\times 2\times 24}{2\times 2}$$

Calculate -14 to the power of 2 and get 196.

$$\frac{14-\sqrt{196}-4\times 2\times 24}{2\times 2}$$

Calculate the square root of 196 and get 14.

$$\frac{14-14-4\times 2\times 24}{2\times 2}$$

Subtract 14 from 14 to get 0.

$$\frac{0-4\times 2\times 24}{2\times 2}$$

Multiply 4 and 2 to get 8.

$$\frac{0-8\times 24}{2\times 2}$$

Multiply 8 and 24 to get 192.

$$\frac{0-192}{2\times 2}$$

Subtract 192 from 0 to get -192.

$$\frac{-192}{2\times 2}$$

Multiply 2 and 2 to get 4.

$$\frac{-192}{4}$$

Divide -192 by 4 to get -48.

$$-48$$

Factor

$$-48$$