Solve C=sqrt{80^2+200^2}

$$C = \sqrt { 80 ^ { 2 } + 200 ^ { 2 } }$$

Solve for C

$$C=40\sqrt{29}\approx 215.406592285$$

Steps for Solving Linear Equation

Calculate 80 to the power of 2 and get 6400.

$$C=\sqrt{6400+200^{2}}$$

Calculate 200 to the power of 2 and get 40000.

$$C=\sqrt{6400+40000}$$

Add 6400 and 40000 to get 46400.

$$C=\sqrt{46400}$$

Factor 46400=40^{2}\times 29. Rewrite the square root of the product \sqrt{40^{2}\times 29} as the product of square roots \sqrt{40^{2}}\sqrt{29}. Take the square root of 40^{2}.

$$C=40\sqrt{29}$$

Assign C

$$C≔40\sqrt{29}$$