Solve sqrt{16^2+55^2-2*16*55*0.5}

$$\sqrt{ { 16 }^{ 2 } + { 55 }^{ 2 } -2 \times 16 \times 55 \times 0.5 }$$

Evaluate

$$49$$

Solution Steps

Calculate 16 to the power of 2 and get 256.

$$\sqrt{256+55^{2}-2\times 16\times 55\times 0.5}$$

Calculate 55 to the power of 2 and get 3025.

$$\sqrt{256+3025-2\times 16\times 55\times 0.5}$$

Add 256 and 3025 to get 3281.

$$\sqrt{3281-2\times 16\times 55\times 0.5}$$

Multiply 2 and 16 to get 32.

$$\sqrt{3281-32\times 55\times 0.5}$$

Multiply 32 and 55 to get 1760.

$$\sqrt{3281-1760\times 0.5}$$

Multiply 1760 and 0.5 to get 880.

$$\sqrt{3281-880}$$

Subtract 880 from 3281 to get 2401.

$$\sqrt{2401}$$

Calculate the square root of 2401 and get 49.

$$49$$

Factor

$$7^{2}$$