Solve sqrt{(0,5)^2+(0,5sqrt{3})^2}

$$\sqrt { ( 0,5 ) ^ { 2 } + ( 0,5 \sqrt { 3 } ) ^ { 2 } }$$

Evaluate

$$1$$

Solution Steps

Calculate 0,5 to the power of 2 and get 0,25.

$$\sqrt{0,25+\left(0,5\sqrt{3}\right)^{2}}$$

Expand \left(0,5\sqrt{3}\right)^{2}.

$$\sqrt{0,25+0,5^{2}\left(\sqrt{3}\right)^{2}}$$

Calculate 0,5 to the power of 2 and get 0,25.

$$\sqrt{0,25+0,25\left(\sqrt{3}\right)^{2}}$$

The square of \sqrt{3} is 3.

$$\sqrt{0,25+0,25\times 3}$$

Multiply 0,25 and 3 to get 0,75.

$$\sqrt{0,25+0,75}$$

Add 0,25 and 0,75 to get 1.

$$\sqrt{1}$$

Calculate the square root of 1 and get 1.

$$1$$

Factor

$$1$$