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Lesson
Practice Problems
\(\textbf{1)}\) \(3\sqrt{5}+6\sqrt{5}\)
\(\textbf{2)}\) \(7\sqrt{3}-3\sqrt{3}\)
\(\textbf{3)}\) \(5\sqrt{7}+6\sqrt{7}\)
\(\textbf{4)}\) \(3\sqrt{2}-7\sqrt{2}\)
\(\textbf{5)}\) \(2\sqrt{5}+3\sqrt{5}+4\sqrt{5}\)
\(\textbf{6)}\) \(\sqrt{3}+4\sqrt{3}\)
\(\textbf{7)}\) \(5\sqrt{6}-3\sqrt{6}+8\sqrt{6}\)
\(\textbf{8)}\) \(3\sqrt{2}+5\sqrt{5}+8\sqrt{2}-2\sqrt{5}\)
\(\textbf{9)}\) \(6\sqrt{3}-3\sqrt{2}+8\sqrt{3}-\sqrt{2}\)
Challenge Problems
\(\textbf{10)}\) \( 2\sqrt{12}+5\sqrt{27} \)
\(\textbf{11)}\) \( 5\displaystyle\sqrt{3}-\displaystyle\sqrt{27} \)
\(\textbf{12)}\) \( \displaystyle\sqrt{30}+\displaystyle\sqrt{5} \)
See Related Pages\(\)
\(\bullet\text{ Simplifying Square Roots}\)
\(\,\,\,\,\,\,\,\,\sqrt{32}=4\sqrt{2}…\)
\(\bullet\text{ Multiplying Square Roots}\)
\(\,\,\,\,\,\,\,\, \sqrt{5} \cdot \sqrt{125} …\)
\(\bullet\text{ Dividing Square Roots}\)
\(\,\,\,\,\,\,\,\,\displaystyle\frac{\sqrt{12}}{\sqrt{3}}…\)
In Summary
Adding and subtracting square roots is a mathematical operation that involves combining square roots that have the same radicand (the number inside the square root symbol). To add or subtract square roots, we first need to make sure that the radicands are the same. We can combine all terms with the same radicand by adding the coefficients.
About Andymath.com
Andymath.com is a free math website with the mission of helping students, teachers and tutors find helpful notes, useful sample problems with answers including step by step solutions, and other related materials to supplement classroom learning. If you have any requests for additional content, please contact Andy at tutoring@andymath.com. He will promptly add the content.
Topics cover Elementary Math, Middle School, Algebra, Geometry, Algebra 2/Pre-calculus/Trig, Calculus and Probability/Statistics. In the future, I hope to add Physics and Linear Algebra content.
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