Solve sqrt{184}-sqrt{50}

$$\sqrt { 184 } - \sqrt { 50 }$$

Evaluate

$$\sqrt{2}\left(2\sqrt{23}-5\right)\approx 6.493592154$$

Solution Steps

Factor 184=2^{2}\times 46. Rewrite the square root of the product \sqrt{2^{2}\times 46} as the product of square roots \sqrt{2^{2}}\sqrt{46}. Take the square root of 2^{2}.

$$2\sqrt{46}-\sqrt{50}$$

Factor 50=5^{2}\times 2. Rewrite the square root of the product \sqrt{5^{2}\times 2} as the product of square roots \sqrt{5^{2}}\sqrt{2}. Take the square root of 5^{2}.

$$2\sqrt{46}-5\sqrt{2}$$