Solve sqrt{4^2+32^2}

$$\sqrt { 4 ^ { 2 } + 32 ^ { 2 } }$$

Evaluate

$$4\sqrt{65}\approx 32.249030993$$

Solution Steps

Calculate 4 to the power of 2 and get 16.

$$\sqrt{16+32^{2}}$$

Calculate 32 to the power of 2 and get 1024.

$$\sqrt{16+1024}$$

Add 16 and 1024 to get 1040.

$$\sqrt{1040}$$

Factor 1040=4^{2}\times 65. Rewrite the square root of the product \sqrt{4^{2}\times 65} as the product of square roots \sqrt{4^{2}}\sqrt{65}. Take the square root of 4^{2}.

$$4\sqrt{65}$$