Solve 15/2*2-sqrt{{left(15/2*2right)}^2++4}

$$\frac{ 15 }{ 2 \times 2 } - \sqrt{ { \left( \frac{ 15 }{ 2 \times 2 } \right) }^{ 2 } ++4 }$$

Evaluate

$$-\frac{1}{2}=-0.5$$

Solution Steps

Multiply 2 and 2 to get 4.

$$\frac{15}{4}-\sqrt{\left(\frac{15}{2\times 2}\right)^{2}+4}$$

Multiply 2 and 2 to get 4.

$$\frac{15}{4}-\sqrt{\left(\frac{15}{4}\right)^{2}+4}$$

Calculate \frac{15}{4} to the power of 2 and get \frac{225}{16}.

$$\frac{15}{4}-\sqrt{\frac{225}{16}+4}$$

Add \frac{225}{16} and 4 to get \frac{289}{16}.

$$\frac{15}{4}-\sqrt{\frac{289}{16}}$$

Rewrite the square root of the division \frac{289}{16} as the division of square roots \frac{\sqrt{289}}{\sqrt{16}}. Take the square root of both numerator and denominator.

$$\frac{15}{4}-\frac{17}{4}$$

Subtract \frac{17}{4} from \frac{15}{4} to get -\frac{1}{2}.

$$-\frac{1}{2}$$

Factor

$$-\frac{1}{2} = -0.5$$