Solve sqrt{500}-sqrt{480}

$$\sqrt{ 500 } - \sqrt{ 480 }$$

Evaluate

$$2\left(5\sqrt{5}-2\sqrt{30}\right)\approx 0.451777475$$

Solution Steps

Factor 500=10^{2}\times 5. Rewrite the square root of the product \sqrt{10^{2}\times 5} as the product of square roots \sqrt{10^{2}}\sqrt{5}. Take the square root of 10^{2}.

$$10\sqrt{5}-\sqrt{480}$$

Factor 480=4^{2}\times 30. Rewrite the square root of the product \sqrt{4^{2}\times 30} as the product of square roots \sqrt{4^{2}}\sqrt{30}. Take the square root of 4^{2}.

$$10\sqrt{5}-4\sqrt{30}$$