Solve sqrt{480^2-60^2}

$$\sqrt { 480 ^ { 2 } - 60 ^ { 2 } }$$

Evaluate

$$180\sqrt{7}\approx 476.235235992$$

Solution Steps

Calculate 480 to the power of 2 and get 230400.

$$\sqrt{230400-60^{2}}$$

Calculate 60 to the power of 2 and get 3600.

$$\sqrt{230400-3600}$$

Subtract 3600 from 230400 to get 226800.

$$\sqrt{226800}$$

Factor 226800=180^{2}\times 7. Rewrite the square root of the product \sqrt{180^{2}\times 7} as the product of square roots \sqrt{180^{2}}\sqrt{7}. Take the square root of 180^{2}.

$$180\sqrt{7}$$