1. **State the problem:** Calculate the value of the expression $2\sqrt{0.25} + \sqrt{3}$. 2. **Recall the square root properties:** - The square root of a number $x$ is a value that, when multiplied by itself, gives $x$. - $\sqrt{a \times b} = \sqrt{a} \times \sqrt{b}$. 3. **Calculate each square root:** - $\sqrt{0.25} = 0.5$ because $0.5 \times 0.5 = 0.25$. - $\sqrt{3}$ is an irrational number approximately equal to $1.732$. 4. **Substitute the values back into the expression:** $$2 \times 0.5 + 1.732$$ 5. **Simplify:** $$1 + 1.732 = 2.732$$ 6. **Final answer:** $$2\sqrt{0.25} + \sqrt{3} = 2.732$$