Solve sqrt{96}+sqrt{150}

$$\sqrt { 96 } + \sqrt { 150 }$$

Evaluate

$$9\sqrt{6}\approx 22.045407685$$

Solution Steps

Factor 96=4^{2}\times 6. Rewrite the square root of the product \sqrt{4^{2}\times 6} as the product of square roots \sqrt{4^{2}}\sqrt{6}. Take the square root of 4^{2}.

$$4\sqrt{6}+\sqrt{150}$$

Factor 150=5^{2}\times 6. Rewrite the square root of the product \sqrt{5^{2}\times 6} as the product of square roots \sqrt{5^{2}}\sqrt{6}. Take the square root of 5^{2}.

$$4\sqrt{6}+5\sqrt{6}$$

Combine 4\sqrt{6} and 5\sqrt{6} to get 9\sqrt{6}.

$$9\sqrt{6}$$