Solve sqrt{80^2+320^2}

$$\sqrt{ { 80 }^{ 2 } + { 320 }^{ 2 } }$$

Evaluate

$$80\sqrt{17}\approx 329.848450049$$

Solution Steps

Calculate 80 to the power of 2 and get 6400.

$$\sqrt{6400+320^{2}}$$

Calculate 320 to the power of 2 and get 102400.

$$\sqrt{6400+102400}$$

Add 6400 and 102400 to get 108800.

$$\sqrt{108800}$$

Factor 108800=80^{2}\times 17. Rewrite the square root of the product \sqrt{80^{2}\times 17} as the product of square roots \sqrt{80^{2}}\sqrt{17}. Take the square root of 80^{2}.

$$80\sqrt{17}$$