Solve sqrt{(6)^2+(8)^2+(24)^2}

$$\sqrt { ( 6 ) ^ { 2 } + ( 8 ) ^ { 2 } + ( 24 ) ^ { 2 } }$$

Evaluate

$$26$$

Solution Steps

Calculate 6 to the power of 2 and get 36.

$$\sqrt{36+8^{2}+24^{2}}$$

Calculate 8 to the power of 2 and get 64.

$$\sqrt{36+64+24^{2}}$$

Add 36 and 64 to get 100.

$$\sqrt{100+24^{2}}$$

Calculate 24 to the power of 2 and get 576.

$$\sqrt{100+576}$$

Add 100 and 576 to get 676.

$$\sqrt{676}$$

Calculate the square root of 676 and get 26.

$$26$$

Factor

$$2\times 13$$