Solve sqrt{{left(1-1/2right)}^2+left(1-1right)^2}

$$\sqrt{ { \left(1- \frac{ 1 }{ 2 } \right) }^{ 2 } + { \left(1-1 \right) }^{ 2 } }$$

Evaluate

$$\frac{1}{2}=0.5$$

Solution Steps

Subtract \frac{1}{2} from 1 to get \frac{1}{2}.

$$\sqrt{\left(\frac{1}{2}\right)^{2}+\left(1-1\right)^{2}}$$

Calculate \frac{1}{2} to the power of 2 and get \frac{1}{4}.

$$\sqrt{\frac{1}{4}+\left(1-1\right)^{2}}$$

Subtract 1 from 1 to get 0.

$$\sqrt{\frac{1}{4}+0^{2}}$$

Calculate 0 to the power of 2 and get 0.

$$\sqrt{\frac{1}{4}+0}$$

Add \frac{1}{4} and 0 to get \frac{1}{4}.

$$\sqrt{\frac{1}{4}}$$

Rewrite the square root of the division \frac{1}{4} as the division of square roots \frac{\sqrt{1}}{\sqrt{4}}. Take the square root of both numerator and denominator.

$$\frac{1}{2}$$

Factor

$$\frac{1}{2} = 0.5$$