Solve sqrt{72^2+48^2}

$$\sqrt{ { 72 }^{ 2 } + { 48 }^{ 2 } }$$

Evaluate

$$24\sqrt{13}\approx 86.533230611$$

Solution Steps

Calculate 72 to the power of 2 and get 5184.

$$\sqrt{5184+48^{2}}$$

Calculate 48 to the power of 2 and get 2304.

$$\sqrt{5184+2304}$$

Add 5184 and 2304 to get 7488.

$$\sqrt{7488}$$

Factor 7488=24^{2}\times 13. Rewrite the square root of the product \sqrt{24^{2}\times 13} as the product of square roots \sqrt{24^{2}}\sqrt{13}. Take the square root of 24^{2}.

$$24\sqrt{13}$$