Math Ladder

Simplifying square roots worksheets Grade 9

Take the largest perfect square out of each square root.

The front of the free simplifying square roots worksheet

Free · Worked example · 56 problems · Answer key · US Letter

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How to do it

Take out the largest perfect square factor: √72 = √36 × √2 = 6√2.

252=36×7=36×7=67\sqrt{252} = \sqrt{36 \times 7} = \sqrt{36} \times \sqrt{7} = 6\sqrt{7}36 is the largest perfect square factor

Example problems

  1. 384=\sqrt{384} =
  2. 99=\sqrt{99} =
  3. 208=\sqrt{208} =
  4. 28=\sqrt{28} =

Radicals, quadratics and rational expressions

  1. Simplifying square roots
  2. Adding and multiplying radicals
  3. Solving quadratic equations by factoring
  4. Completing the square
  5. The quadratic formula
  6. Simplifying rational expressions
  7. Multiplying and dividing rational expressions