Solve sqrt{54}+sqrt{24}

$$\sqrt { 54 } + \sqrt { 24 }$$

Evaluate

$$5\sqrt{6}\approx 12.247448714$$

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}.

$$3\sqrt{6}+\sqrt{24}$$

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}.

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

Combine 3\sqrt{6} and 2\sqrt{6} to get 5\sqrt{6}.

$$5\sqrt{6}$$