Solve sqrt{42^2+82^2}

$$\sqrt{ { 42 }^{ 2 } + { 82 }^{ 2 } }$$

Evaluate

$$2\sqrt{2122}\approx 92.13034245$$

Solution Steps

Calculate 42 to the power of 2 and get 1764.

$$\sqrt{1764+82^{2}}$$

Calculate 82 to the power of 2 and get 6724.

$$\sqrt{1764+6724}$$

Add 1764 and 6724 to get 8488.

$$\sqrt{8488}$$

Factor 8488=2^{2}\times 2122. Rewrite the square root of the product \sqrt{2^{2}\times 2122} as the product of square roots \sqrt{2^{2}}\sqrt{2122}. Take the square root of 2^{2}.

$$2\sqrt{2122}$$