Solve sqrt{(200)^2+614^2}

$$\sqrt { ( 200 ) ^ { 2 } + 614 ^ { 2 } }$$

Evaluate

$$2\sqrt{104249}\approx 645.752274483$$

Solution Steps

Calculate 200 to the power of 2 and get 40000.

$$\sqrt{40000+614^{2}}$$

Calculate 614 to the power of 2 and get 376996.

$$\sqrt{40000+376996}$$

Add 40000 and 376996 to get 416996.

$$\sqrt{416996}$$

Factor 416996=2^{2}\times 104249. Rewrite the square root of the product \sqrt{2^{2}\times 104249} as the product of square roots \sqrt{2^{2}}\sqrt{104249}. Take the square root of 2^{2}.

$$2\sqrt{104249}$$