Solve sqrt{5^2+12^2}+sqrt{6^2+8^2}

$$\sqrt { 5 ^ { 2 } + 12 ^ { 2 } } + \sqrt { 6 ^ { 2 } + 8 ^ { 2 } }$$

Evaluate

$$23$$

Solution Steps

Calculate 5 to the power of 2 and get 25.

$$\sqrt{25+12^{2}}+\sqrt{6^{2}+8^{2}}$$

Calculate 12 to the power of 2 and get 144.

$$\sqrt{25+144}+\sqrt{6^{2}+8^{2}}$$

Add 25 and 144 to get 169.

$$\sqrt{169}+\sqrt{6^{2}+8^{2}}$$

Calculate the square root of 169 and get 13.

$$13+\sqrt{6^{2}+8^{2}}$$

Calculate 6 to the power of 2 and get 36.

$$13+\sqrt{36+8^{2}}$$

Calculate 8 to the power of 2 and get 64.

$$13+\sqrt{36+64}$$

Add 36 and 64 to get 100.

$$13+\sqrt{100}$$

Calculate the square root of 100 and get 10.

$$13+10$$

Add 13 and 10 to get 23.

$$23$$

Factor

$$23$$