Solve sqrt{24^2+24^2}=

$$\sqrt { 24 ^ { 2 } + 24 ^ { 2 } } =$$

Evaluate

$$24\sqrt{2}\approx 33.941125497$$

Solution Steps

Calculate 24 to the power of 2 and get 576.

$$\sqrt{576+24^{2}}$$

Calculate 24 to the power of 2 and get 576.

$$\sqrt{576+576}$$

Add 576 and 576 to get 1152.

$$\sqrt{1152}$$

Factor 1152=24^{2}\times 2. Rewrite the square root of the product \sqrt{24^{2}\times 2} as the product of square roots \sqrt{24^{2}}\sqrt{2}. Take the square root of 24^{2}.

$$24\sqrt{2}$$