Solve sqrt{54}-sqrt{24}k

$$\sqrt { 54 } - \sqrt { 24 } k$$

Evaluate

$$\sqrt{6}\left(3-2k\right)$$

Solution Steps

Factor 54=3^{2}\times 6. Rewrite the square root of the product \sqrt{3^{2}\times 6} as the product of square roots \sqrt{3^{2}}\sqrt{6}. Take the square root of 3^{2}.

$$3\sqrt{6}-\sqrt{24}k$$

Factor 24=2^{2}\times 6. Rewrite the square root of the product \sqrt{2^{2}\times 6} as the product of square roots \sqrt{2^{2}}\sqrt{6}. Take the square root of 2^{2}.

$$3\sqrt{6}-2\sqrt{6}k$$

Differentiate w.r.t. k

$$-2\sqrt{6}$$