Solve frac{-6sqrt{36-8}}{4}

$$\frac{ -6 \sqrt{ 36-8 } }{ 4 }$$

Evaluate

$$-3\sqrt{7}\approx -7.937253933$$

Solution Steps

Subtract 8 from 36 to get 28.

$$\frac{-6\sqrt{28}}{4}$$

Factor 28=2^{2}\times 7. Rewrite the square root of the product \sqrt{2^{2}\times 7} as the product of square roots \sqrt{2^{2}}\sqrt{7}. Take the square root of 2^{2}.

$$\frac{-6\times 2\sqrt{7}}{4}$$

Multiply -6 and 2 to get -12.

$$\frac{-12\sqrt{7}}{4}$$

Divide -12\sqrt{7} by 4 to get -3\sqrt{7}.

$$-3\sqrt{7}$$