Solve frac{-6+sqrt{36-4*(-36)}}{2}

$$\frac{ -6+ \sqrt{ 36-4 \times (-36) } }{ 2 }$$

Evaluate

$$3\left(\sqrt{5}-1\right)\approx 3.708203932$$

Solution Steps

Multiply 4 and -36 to get -144.

$$\frac{-6+\sqrt{36-\left(-144\right)}}{2}$$

The opposite of -144 is 144.

$$\frac{-6+\sqrt{36+144}}{2}$$

Add 36 and 144 to get 180.

$$\frac{-6+\sqrt{180}}{2}$$

Factor 180=6^{2}\times 5. Rewrite the square root of the product \sqrt{6^{2}\times 5} as the product of square roots \sqrt{6^{2}}\sqrt{5}. Take the square root of 6^{2}.

$$\frac{-6+6\sqrt{5}}{2}$$

Factor

$$3 {(\sqrt{5} - 1)} = 3.708203932$$