Solve sqrt{296^2+52^2}

$$\sqrt { 296 ^ { 2 } + 52 ^ { 2 } }$$

Evaluate

$$4\sqrt{5645}\approx 300.5328601$$

Solution Steps

Calculate 296 to the power of 2 and get 87616.

$$\sqrt{87616+52^{2}}$$

Calculate 52 to the power of 2 and get 2704.

$$\sqrt{87616+2704}$$

Add 87616 and 2704 to get 90320.

$$\sqrt{90320}$$

Factor 90320=4^{2}\times 5645. Rewrite the square root of the product \sqrt{4^{2}\times 5645} as the product of square roots \sqrt{4^{2}}\sqrt{5645}. Take the square root of 4^{2}.

$$4\sqrt{5645}$$