Solve [sqrt{(-6)^2}-sqrt{6}]*sqrt{6}-6sqrt{6}

$$[ \sqrt { ( - 6 ) ^ { 2 } } - \sqrt { 6 } ] \times \sqrt { 6 } - 6 \sqrt { 6 }$$

Evaluate

$$-6$$

Solution Steps

Calculate -6 to the power of 2 and get 36.

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

Calculate the square root of 36 and get 6.

$$\left(6-\sqrt{6}\right)\sqrt{6}-6\sqrt{6}$$

Use the distributive property to multiply 6-\sqrt{6} by \sqrt{6}.

$$6\sqrt{6}-\left(\sqrt{6}\right)^{2}-6\sqrt{6}$$

The square of \sqrt{6} is 6.

$$6\sqrt{6}-6-6\sqrt{6}$$

Combine 6\sqrt{6} and -6\sqrt{6} to get 0.

$$-6$$

Factor

$$-6$$