Solve sqrt{24}-2sqrt{3}*sqrt{2}

$$\sqrt { 24 } - 2 \sqrt { 3 } \times \sqrt { 2 }$$

Evaluate

$$0$$

Solution Steps

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}.

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

To multiply \sqrt{3} and \sqrt{2}, multiply the numbers under the square root.

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

Combine 2\sqrt{6} and -2\sqrt{6} to get 0.

$$0$$

Factor

$$0$$