Solve sqrt{32}-sqrt{24}

$$\sqrt { 32 } - \sqrt { 24 }$$

Evaluate

$$2^{\frac{5}{2}}-2\sqrt{6}\approx 0.757874764$$

Solution Steps

Factor 32=4^{2}\times 2. Rewrite the square root of the product \sqrt{4^{2}\times 2} as the product of square roots \sqrt{4^{2}}\sqrt{2}. Take the square root of 4^{2}.

$$4\sqrt{2}-\sqrt{24}$$

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}.

$$4\sqrt{2}-2\sqrt{6}$$