Solve frac{-3+sqrt{4*3}}{4}

$$\frac { - 3 + \sqrt { 4 \times 3 } } { 4 }$$

Evaluate

$$\frac{\sqrt{3}}{2}-\frac{3}{4}\approx 0.116025404$$

Solution Steps

Multiply 4 and 3 to get 12.

$$\frac{-3+\sqrt{12}}{4}$$

Factor 12=2^{2}\times 3. Rewrite the square root of the product \sqrt{2^{2}\times 3} as the product of square roots \sqrt{2^{2}}\sqrt{3}. Take the square root of 2^{2}.

$$\frac{-3+2\sqrt{3}}{4}$$