Solve 20sqrt{10^2-frac{20^2/4}}{2}

$$\frac{ 20 \sqrt{ { 10 }^{ 2 } - \frac{ { 20 }^{ 2 } }{ 4 } } }{ 2 }$$

Evaluate

$$0$$

Solution Steps

Calculate 10 to the power of 2 and get 100.

$$\frac{20\sqrt{100-\frac{20^{2}}{4}}}{2}$$

Calculate 20 to the power of 2 and get 400.

$$\frac{20\sqrt{100-\frac{400}{4}}}{2}$$

Divide 400 by 4 to get 100.

$$\frac{20\sqrt{100-100}}{2}$$

Subtract 100 from 100 to get 0.

$$\frac{20\sqrt{0}}{2}$$

Calculate the square root of 0 and get 0.

$$\frac{20\times 0}{2}$$

Multiply 20 and 0 to get 0.

$$\frac{0}{2}$$

Zero divided by any non-zero number gives zero.

$$0$$

Factor

$$0$$