Solve sqrt{81+37^2}

$$\sqrt { 81 + 37 ^ { 2 } }$$

Evaluate

$$5\sqrt{58}\approx 38.078865529$$

Solution Steps

Calculate 37 to the power of 2 and get 1369.

$$\sqrt{81+1369}$$

Add 81 and 1369 to get 1450.

$$\sqrt{1450}$$

Factor 1450=5^{2}\times 58. Rewrite the square root of the product \sqrt{5^{2}\times 58} as the product of square roots \sqrt{5^{2}}\sqrt{58}. Take the square root of 5^{2}.

$$5\sqrt{58}$$