Solve sqrt{480^2+60^2}

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

Evaluate

$$60\sqrt{65}\approx 483.735464898$$

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.

$$\sqrt{230400+3600}$$

Add 230400 and 3600 to get 234000.

$$\sqrt{234000}$$

Factor 234000=60^{2}\times 65. Rewrite the square root of the product \sqrt{60^{2}\times 65} as the product of square roots \sqrt{60^{2}}\sqrt{65}. Take the square root of 60^{2}.

$$60\sqrt{65}$$