Solve sqrt{12^2+24^2+8^2}

$$\sqrt { 12 ^ { 2 } + 24 ^ { 2 } + 8 ^ { 2 } }$$

Evaluate

$$28$$

Solution Steps

Calculate 12 to the power of 2 and get 144.

$$\sqrt{144+24^{2}+8^{2}}$$

Calculate 24 to the power of 2 and get 576.

$$\sqrt{144+576+8^{2}}$$

Add 144 and 576 to get 720.

$$\sqrt{720+8^{2}}$$

Calculate 8 to the power of 2 and get 64.

$$\sqrt{720+64}$$

Add 720 and 64 to get 784.

$$\sqrt{784}$$

Calculate the square root of 784 and get 28.

$$28$$

Factor

$$2^{2}\times 7$$