Solve frac{3sqrt{50}-sqrt{210}}{50}

$$\frac { 3 \sqrt { 50 } - \sqrt { 210 } } { 50 }$$

Evaluate

$$\frac{3\sqrt{2}}{10}-\frac{\sqrt{210}}{50}\approx 0.134436534$$

Solution Steps

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}.

$$\frac{3\times 5\sqrt{2}-\sqrt{210}}{50}$$

Multiply 3 and 5 to get 15.

$$\frac{15\sqrt{2}-\sqrt{210}}{50}$$