Solve sqrt{162}-sqrt{108}

$$\sqrt { 162 } - \sqrt { 108 }$$

Evaluate

$$3\sqrt{3}\left(\sqrt{6}-2\right)\approx 2.335617216$$

Solution Steps

Factor 162=9^{2}\times 2. Rewrite the square root of the product \sqrt{9^{2}\times 2} as the product of square roots \sqrt{9^{2}}\sqrt{2}. Take the square root of 9^{2}.

$$9\sqrt{2}-\sqrt{108}$$

Factor 108=6^{2}\times 3. Rewrite the square root of the product \sqrt{6^{2}\times 3} as the product of square roots \sqrt{6^{2}}\sqrt{3}. Take the square root of 6^{2}.

$$9\sqrt{2}-6\sqrt{3}$$