Solve frac{-6sqrt{36-4*10*(-2)}}{-4}

$$\frac{ -6 \sqrt{ 36-4 \times 10 \times (-2) } }{ -4 }$$

Evaluate

$$3\sqrt{29}\approx 16.155494421$$

Solution Steps

Multiply 4 and 10 to get 40.

$$\frac{-6\sqrt{36-40\left(-2\right)}}{-4}$$

Multiply 40 and -2 to get -80.

$$\frac{-6\sqrt{36-\left(-80\right)}}{-4}$$

The opposite of -80 is 80.

$$\frac{-6\sqrt{36+80}}{-4}$$

Add 36 and 80 to get 116.

$$\frac{-6\sqrt{116}}{-4}$$

Factor 116=2^{2}\times 29. Rewrite the square root of the product \sqrt{2^{2}\times 29} as the product of square roots \sqrt{2^{2}}\sqrt{29}. Take the square root of 2^{2}.

$$\frac{-6\times 2\sqrt{29}}{-4}$$

Multiply -6 and 2 to get -12.

$$\frac{-12\sqrt{29}}{-4}$$

Divide -12\sqrt{29} by -4 to get 3\sqrt{29}.

$$3\sqrt{29}$$