Solve sqrt{44^2-22^2}=

$$\sqrt { 44 ^ { 2 } - 22 ^ { 2 } } =$$

Evaluate

$$22\sqrt{3}\approx 38.105117767$$

Solution Steps

Calculate 44 to the power of 2 and get 1936.

$$\sqrt{1936-22^{2}}$$

Calculate 22 to the power of 2 and get 484.

$$\sqrt{1936-484}$$

Subtract 484 from 1936 to get 1452.

$$\sqrt{1452}$$

Factor 1452=22^{2}\times 3. Rewrite the square root of the product \sqrt{22^{2}\times 3} as the product of square roots \sqrt{22^{2}}\sqrt{3}. Take the square root of 22^{2}.

$$22\sqrt{3}$$