Adding and Subtracting Radicals Worksheet
Practice adding and subtracting radical expressions with this Grade 10 math worksheet. Includes simplification and combining like terms.
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Adding and Subtracting Radicals
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Simplify each radical expression by adding or subtracting like terms. Show all your work.
1. Simplify the expression: \( 3\sqrt{5} + 2\sqrt{5} \)
2. Simplify the expression: \( 7\sqrt{3} - 4\sqrt{3} + \sqrt{3} \)
3. Simplify the expression: \( \sqrt{12} + \sqrt{27} \)
4. To add or subtract radicals, they must have the same and the same .
5. The simplified form of \( 5\sqrt{8} - \sqrt{2} \) is .
6. Which of the following expressions is equivalent to \( \sqrt{50} + \sqrt{18} \)?
\( 8\sqrt{2} \)
\( \sqrt{68} \)
\( 2\sqrt{5} + 2\sqrt{3} \)
\( 7\sqrt{2} \)
7. Simplify the expression: \( \sqrt{75} - \sqrt{12} + \sqrt{48} \)
8. Simplify the expression: \( 4\sqrt{20} + 3\sqrt{45} - \sqrt{5} \)