Subjects algebra

Simplify Radical Expression 747F33

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1. **State the problem:** Simplify the expression $2\sqrt{x}0.25 + \sqrt{x}3$. 2. **Rewrite the expression:** The expression can be written as $2 \times \sqrt{x} \times 0.25 + \sqrt{x} \times 3$. 3. **Multiply constants:** Calculate $2 \times 0.25 = 0.5$, so the expression becomes $0.5 \sqrt{x} + 3 \sqrt{x}$. 4. **Combine like terms:** Both terms have $\sqrt{x}$, so add the coefficients: $0.5 + 3 = 3.5$. 5. **Final simplified expression:** $$3.5 \sqrt{x}$$ This means the original expression simplifies to $3.5 \sqrt{x}$.